YES

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 98-rule system
{ 0 1 0 1 2 2 -> 0 1 0 2 1 2 ,
  3 1 4 4 0 5 1 -> 3 4 5 1 0 4 1 ,
  3 4 0 5 4 4 2 -> 3 4 5 4 0 4 2 ,
  1 0 3 2 0 4 0 5 -> 1 0 0 3 2 0 4 5 ,
  3 4 0 5 4 0 1 5 -> 3 0 4 5 4 0 1 5 ,
  5 3 0 1 5 1 5 1 5 -> 5 5 1 0 3 1 5 1 5 ,
  4 0 3 4 1 5 2 2 5 4 -> 0 2 1 4 4 5 2 3 5 4 ,
  0 0 1 4 1 1 5 5 3 2 3 -> 2 1 3 1 4 4 2 1 1 3 ,
  0 1 0 1 0 3 1 3 0 1 0 -> 4 0 5 3 2 2 2 5 5 5 ,
  0 2 3 4 5 1 3 0 1 2 0 -> 0 1 3 0 5 4 0 2 0 5 ,
  0 3 4 0 3 2 3 4 5 5 3 -> 4 0 2 3 3 5 5 2 3 1 ,
  1 0 2 5 4 3 4 1 2 1 0 -> 2 4 2 5 3 5 2 4 2 1 ,
  1 4 2 2 2 4 4 4 2 0 5 -> 5 4 5 0 1 0 5 2 5 1 ,
  1 4 4 2 5 1 5 1 0 4 1 -> 0 1 5 2 0 4 4 3 2 1 ,
  1 5 0 0 1 0 2 4 1 1 4 -> 1 5 0 1 0 0 2 4 1 1 4 ,
  1 5 0 5 0 0 5 4 4 0 2 -> 0 4 4 0 2 3 3 5 5 1 ,
  2 0 0 5 5 2 4 1 1 0 2 -> 1 4 0 0 2 2 1 4 5 3 ,
  2 0 2 4 0 1 0 3 0 4 4 -> 4 4 5 1 4 1 2 2 1 0 ,
  2 0 4 1 3 1 2 0 0 2 3 -> 5 1 2 1 4 4 1 5 5 3 ,
  2 0 4 4 0 0 4 3 0 2 4 -> 0 2 0 4 3 3 5 3 4 4 ,
  2 1 2 3 0 4 5 1 1 1 0 -> 0 4 0 1 3 2 2 1 4 2 ,
  2 2 3 3 2 5 1 2 5 3 0 -> 4 5 2 2 5 1 5 3 3 5 ,
  2 3 0 1 4 0 3 0 3 0 2 -> 0 5 0 5 5 5 1 5 4 3 ,
  2 3 1 5 3 2 4 3 2 4 2 -> 2 1 2 3 2 4 5 3 4 4 ,
  2 3 2 2 0 2 5 4 5 4 2 -> 4 5 5 1 5 2 3 2 1 3 ,
  2 3 4 3 5 0 0 0 3 3 5 -> 3 4 1 4 0 3 2 1 1 0 ,
  2 4 4 4 3 0 1 5 3 3 5 -> 4 4 2 0 3 4 0 4 0 1 ,
  2 5 2 0 4 3 3 3 2 1 4 -> 1 3 2 5 5 0 5 1 0 4 ,
  3 1 3 1 1 1 2 0 4 4 5 -> 5 4 3 0 4 4 3 3 3 2 ,
  3 1 4 4 1 5 0 0 0 2 4 -> 5 1 2 0 0 3 5 5 1 1 ,
  3 2 0 2 2 1 0 4 1 0 2 -> 2 1 3 4 1 3 0 0 5 5 ,
  3 2 5 3 0 1 1 0 0 3 1 -> 0 5 1 0 1 1 0 3 4 3 ,
  3 4 3 1 2 5 5 1 3 1 2 -> 1 4 1 3 4 4 5 5 2 0 ,
  3 5 0 4 2 2 0 1 0 0 0 -> 1 0 0 3 1 2 4 3 3 5 ,
  4 0 3 1 2 3 0 3 3 5 0 -> 4 0 2 0 2 3 5 4 2 4 ,
  4 1 4 1 1 2 2 0 0 4 4 -> 0 5 1 3 5 2 1 2 0 5 ,
  5 1 5 0 2 2 5 4 4 4 4 -> 5 0 0 4 0 0 0 4 2 0 ,
  5 2 0 2 5 2 3 4 4 5 0 -> 3 5 5 5 0 4 4 5 3 2 ,
  5 3 5 5 5 4 0 0 0 1 5 -> 5 2 2 0 2 2 4 1 1 4 ,
  5 5 3 4 0 4 0 3 0 3 0 -> 1 2 3 1 3 0 3 5 3 5 ,
  5 5 4 5 4 2 5 1 4 0 4 -> 5 4 0 3 2 1 0 0 4 4 ,
  0 0 0 4 4 1 2 1 4 4 1 2 -> 4 3 3 2 2 2 1 1 0 0 ,
  0 4 3 3 5 1 3 2 5 0 1 2 -> 2 1 5 0 3 3 4 0 3 0 ,
  0 5 1 1 4 4 3 3 3 3 1 1 -> 3 0 2 3 5 4 5 1 2 2 ,
  0 5 1 4 1 0 4 1 3 2 5 2 -> 3 2 1 5 4 3 0 2 2 4 ,
  0 5 1 4 4 4 5 2 3 2 1 0 -> 2 4 4 2 0 2 2 4 0 0 ,
  0 5 3 5 0 5 4 2 0 5 5 3 -> 2 5 5 2 0 0 4 1 0 1 ,
  1 3 3 3 4 4 2 2 3 1 5 3 -> 0 3 0 2 3 1 1 2 0 5 ,
  1 3 4 2 1 2 4 2 4 4 4 2 -> 0 4 3 1 0 3 1 5 5 0 ,
  2 1 2 5 5 3 1 2 2 2 1 2 -> 2 2 3 4 2 5 0 0 5 0 ,
  2 5 4 5 0 1 4 0 5 3 2 0 -> 2 1 4 4 0 0 3 5 5 5 2 0 ,
  3 3 1 4 4 5 2 3 1 3 3 2 -> 5 0 3 5 1 4 4 3 1 3 ,
  3 3 1 5 5 2 5 3 0 5 4 5 -> 2 1 3 0 2 4 4 5 3 3 ,
  3 4 2 4 4 2 4 5 5 2 1 4 -> 3 1 2 1 5 2 2 5 2 0 ,
  3 5 0 5 1 3 2 4 0 5 0 2 -> 3 3 4 3 3 2 0 4 2 1 ,
  3 5 2 0 3 3 4 1 4 2 0 4 -> 2 5 2 1 5 0 5 2 4 0 ,
  4 3 1 5 5 3 5 1 2 5 4 3 -> 0 3 0 5 2 5 2 4 4 2 ,
  5 4 3 4 4 3 5 4 0 5 0 3 -> 3 0 0 2 1 3 1 4 3 2 ,
  5 5 4 4 4 4 2 4 0 3 1 2 -> 1 2 1 1 1 1 2 0 4 2 ,
  3 0 4 5 0 1 2 3 1 4 5 0 1 -> 3 0 4 5 1 0 2 3 1 4 5 0 1 ,
  5 1 1 3 1 0 1 5 1 1 4 5 3 -> 5 1 1 3 1 0 1 1 5 1 4 5 3 ,
  1 4 4 0 1 1 3 5 0 4 5 3 2 1 -> 1 4 1 0 5 1 3 4 4 0 3 5 2 1 ,
  0 5 2 3 1 1 0 4 0 2 5 0 4 4 2 -> 0 5 3 1 2 1 2 0 0 4 5 4 0 4 2 ,
  2 4 0 4 0 2 2 2 1 4 0 5 5 3 5 5 -> 2 4 0 4 0 2 2 2 4 1 0 5 5 3 5 5 ,
  1 1 0 0 1 5 0 2 4 0 2 4 4 3 2 0 0 -> 1 1 0 1 0 5 2 0 2 4 0 4 4 3 2 0 0 ,
  2 3 4 5 3 0 3 0 1 4 3 1 2 0 2 0 5 -> 2 3 4 5 3 0 3 0 1 3 4 1 2 0 2 0 5 ,
  3 2 2 5 1 3 2 1 3 1 3 0 3 2 1 3 0 -> 3 2 2 5 3 1 2 1 3 1 3 0 3 2 1 3 0 ,
  4 0 5 4 0 1 0 4 3 2 1 5 5 3 0 0 4 -> 4 0 5 4 0 1 0 4 2 3 1 5 5 3 0 0 4 ,
  4 5 4 3 0 2 1 3 2 5 2 4 0 5 4 2 2 -> 4 5 4 3 0 2 1 3 2 5 2 4 5 0 4 2 2 ,
  0 0 1 5 3 2 4 1 3 4 5 3 2 5 4 5 2 3 -> 0 0 1 3 5 2 4 1 3 4 5 3 2 5 4 5 2 3 ,
  2 3 1 2 0 1 2 2 1 0 1 5 2 1 4 4 0 1 -> 2 3 1 2 0 1 2 1 2 0 1 5 2 1 4 4 0 1 ,
  4 5 0 5 5 0 0 5 0 1 5 2 3 1 2 5 3 0 -> 4 5 0 5 5 0 0 0 5 1 5 2 3 1 2 5 3 0 ,
  5 1 1 2 2 1 4 1 5 4 0 1 3 0 3 3 0 2 -> 5 1 2 1 2 1 4 1 5 4 0 1 3 0 3 3 0 2 ,
  5 2 2 0 1 4 5 2 2 3 2 3 3 1 0 2 3 4 -> 5 2 2 0 1 4 5 2 2 3 2 3 3 1 2 0 3 4 ,
  2 4 1 1 0 2 5 4 0 4 1 1 5 0 2 0 0 5 5 -> 2 1 4 2 1 0 5 1 4 0 4 1 0 5 0 2 0 5 5 ,
  4 3 3 2 5 4 2 1 3 4 4 0 4 3 5 3 2 0 0 -> 4 3 3 2 5 4 2 1 3 4 4 0 4 3 3 5 2 0 0 ,
  5 0 4 4 2 4 3 0 0 2 5 2 3 3 1 5 2 2 4 -> 5 0 4 2 4 4 3 0 0 2 5 2 3 3 1 5 2 2 4 ,
  3 1 2 5 5 3 3 1 3 4 1 4 3 0 1 4 3 2 0 4 -> 3 1 5 5 0 2 3 3 1 3 3 4 4 1 4 1 2 3 0 4 ,
  2 0 5 2 3 2 3 4 1 5 0 0 4 4 0 1 4 2 3 5 4 1 -> 2 0 5 2 3 2 3 4 5 1 0 0 4 4 0 1 4 2 3 5 4 1 ,
  2 0 5 5 3 1 0 2 0 2 4 1 4 3 2 3 2 2 1 5 5 4 -> 2 0 5 3 5 1 0 2 0 2 1 4 4 3 2 3 2 2 1 5 5 4 ,
  2 2 2 5 2 5 1 2 3 1 2 1 5 2 5 4 3 3 3 0 5 2 -> 2 2 2 5 2 1 5 2 3 1 2 1 5 2 5 4 3 3 3 0 5 2 ,
  2 3 2 1 3 0 5 3 2 5 0 1 5 2 3 5 5 0 0 4 3 4 -> 2 3 2 1 3 0 5 3 2 5 0 5 1 2 3 5 5 0 0 4 3 4 ,
  0 4 0 5 2 0 1 5 2 4 2 5 2 4 2 1 0 1 4 0 0 1 4 0 -> 0 4 0 5 2 0 1 2 5 4 2 5 2 4 2 1 0 1 4 0 0 1 4 0 ,
  2 5 5 2 5 3 1 5 5 5 1 0 2 1 5 4 2 4 3 4 2 0 1 0 -> 2 5 5 2 5 3 5 1 5 5 1 0 2 1 5 4 2 4 3 4 2 0 1 0 ,
  3 2 3 1 3 1 1 5 5 5 5 4 2 4 3 5 4 1 5 4 1 3 5 2 -> 3 2 3 1 3 1 1 5 5 5 5 4 2 4 3 5 1 4 5 4 1 3 5 2 ,
  4 2 4 0 5 3 1 1 2 4 4 1 5 1 4 2 3 5 2 4 0 1 2 5 -> 4 0 3 2 4 1 1 5 5 2 1 2 4 4 4 5 3 1 2 1 0 5 2 4 ,
  5 3 5 0 5 5 0 5 2 1 3 2 2 1 0 0 4 5 1 0 2 2 3 0 -> 5 3 5 0 5 5 5 0 2 1 3 2 2 1 0 0 4 5 1 0 2 2 3 0 ,
  3 1 1 1 3 4 0 1 4 1 4 0 1 2 0 5 3 4 5 2 4 3 2 0 2 -> 3 1 1 1 3 0 4 1 4 1 4 0 1 2 0 5 3 4 5 2 4 3 2 0 2 ,
  4 2 4 3 2 1 4 0 3 1 4 5 2 4 5 5 5 1 2 0 4 0 2 2 2 -> 4 2 4 3 2 1 0 4 3 1 4 5 2 4 5 5 5 1 2 0 4 0 2 2 2 ,
  5 5 0 0 0 5 4 1 5 3 4 3 5 3 1 4 0 3 0 5 0 0 3 5 0 3 -> 5 5 0 0 0 4 5 1 5 3 4 3 5 3 1 4 0 3 0 5 0 0 3 5 0 3 ,
  5 5 5 3 2 1 0 5 3 2 0 4 5 0 4 4 0 2 1 4 3 4 5 0 2 2 -> 5 5 5 2 3 1 0 5 3 2 0 4 5 0 4 4 0 2 1 4 3 4 5 0 2 2 ,
  0 1 4 1 5 1 2 0 1 3 0 2 0 5 0 5 5 0 4 4 0 5 4 3 0 1 2 -> 0 1 4 1 5 1 2 1 0 3 0 2 0 5 0 5 5 0 4 4 0 5 4 3 0 1 2 ,
  5 2 2 0 5 2 2 4 3 1 3 0 0 0 0 0 4 5 0 1 4 5 4 0 0 3 4 -> 5 2 2 0 5 2 4 2 3 1 3 0 0 0 0 0 4 5 0 1 4 5 4 0 0 3 4 ,
  0 3 4 2 0 5 4 1 0 2 5 0 1 0 1 3 4 0 3 0 5 0 3 0 4 4 0 3 -> 0 3 4 2 0 5 4 1 0 2 5 0 1 0 3 1 4 0 3 0 5 0 3 0 4 4 0 3 ,
  1 5 0 5 3 2 5 5 3 3 3 3 0 5 3 5 0 1 1 5 5 0 1 0 4 0 1 3 -> 5 1 0 5 3 5 5 2 3 3 3 0 3 3 5 5 1 0 5 1 5 0 1 0 4 0 1 3 ,
  4 0 2 5 0 4 5 3 5 3 5 5 5 3 0 0 5 5 3 5 3 5 1 1 1 2 5 2 -> 4 5 5 0 3 0 2 3 5 5 4 3 5 5 0 5 1 5 0 5 1 3 5 5 3 2 1 2 ,
  4 3 1 4 3 5 2 2 5 3 0 1 2 1 2 2 0 5 0 4 5 1 5 3 5 3 2 3 -> 4 3 4 2 3 1 5 5 0 3 2 2 1 2 1 2 5 4 0 0 3 5 1 5 2 3 5 3 ,
  2 4 0 1 4 4 5 1 2 2 5 5 0 2 2 2 2 4 2 5 2 5 4 2 3 1 0 4 0 4 -> 2 4 0 1 4 4 5 1 2 2 5 5 0 2 2 2 2 4 2 2 5 5 4 2 3 1 0 4 0 4 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 48-rule system
{ 0 1 0 1 2 2 -> 0 1 0 2 1 2 ,
  3 1 4 4 0 5 1 -> 3 4 5 1 0 4 1 ,
  3 4 0 5 4 4 2 -> 3 4 5 4 0 4 2 ,
  1 0 3 2 0 4 0 5 -> 1 0 0 3 2 0 4 5 ,
  3 4 0 5 4 0 1 5 -> 3 0 4 5 4 0 1 5 ,
  5 3 0 1 5 1 5 1 5 -> 5 5 1 0 3 1 5 1 5 ,
  4 0 3 4 1 5 2 2 5 4 -> 0 2 1 4 4 5 2 3 5 4 ,
  1 5 0 0 1 0 2 4 1 1 4 -> 1 5 0 1 0 0 2 4 1 1 4 ,
  2 5 4 5 0 1 4 0 5 3 2 0 -> 2 1 4 4 0 0 3 5 5 5 2 0 ,
  3 0 4 5 0 1 2 3 1 4 5 0 1 -> 3 0 4 5 1 0 2 3 1 4 5 0 1 ,
  5 1 1 3 1 0 1 5 1 1 4 5 3 -> 5 1 1 3 1 0 1 1 5 1 4 5 3 ,
  1 4 4 0 1 1 3 5 0 4 5 3 2 1 -> 1 4 1 0 5 1 3 4 4 0 3 5 2 1 ,
  0 5 2 3 1 1 0 4 0 2 5 0 4 4 2 -> 0 5 3 1 2 1 2 0 0 4 5 4 0 4 2 ,
  2 4 0 4 0 2 2 2 1 4 0 5 5 3 5 5 -> 2 4 0 4 0 2 2 2 4 1 0 5 5 3 5 5 ,
  1 1 0 0 1 5 0 2 4 0 2 4 4 3 2 0 0 -> 1 1 0 1 0 5 2 0 2 4 0 4 4 3 2 0 0 ,
  2 3 4 5 3 0 3 0 1 4 3 1 2 0 2 0 5 -> 2 3 4 5 3 0 3 0 1 3 4 1 2 0 2 0 5 ,
  3 2 2 5 1 3 2 1 3 1 3 0 3 2 1 3 0 -> 3 2 2 5 3 1 2 1 3 1 3 0 3 2 1 3 0 ,
  4 0 5 4 0 1 0 4 3 2 1 5 5 3 0 0 4 -> 4 0 5 4 0 1 0 4 2 3 1 5 5 3 0 0 4 ,
  4 5 4 3 0 2 1 3 2 5 2 4 0 5 4 2 2 -> 4 5 4 3 0 2 1 3 2 5 2 4 5 0 4 2 2 ,
  0 0 1 5 3 2 4 1 3 4 5 3 2 5 4 5 2 3 -> 0 0 1 3 5 2 4 1 3 4 5 3 2 5 4 5 2 3 ,
  2 3 1 2 0 1 2 2 1 0 1 5 2 1 4 4 0 1 -> 2 3 1 2 0 1 2 1 2 0 1 5 2 1 4 4 0 1 ,
  4 5 0 5 5 0 0 5 0 1 5 2 3 1 2 5 3 0 -> 4 5 0 5 5 0 0 0 5 1 5 2 3 1 2 5 3 0 ,
  5 1 1 2 2 1 4 1 5 4 0 1 3 0 3 3 0 2 -> 5 1 2 1 2 1 4 1 5 4 0 1 3 0 3 3 0 2 ,
  5 2 2 0 1 4 5 2 2 3 2 3 3 1 0 2 3 4 -> 5 2 2 0 1 4 5 2 2 3 2 3 3 1 2 0 3 4 ,
  2 4 1 1 0 2 5 4 0 4 1 1 5 0 2 0 0 5 5 -> 2 1 4 2 1 0 5 1 4 0 4 1 0 5 0 2 0 5 5 ,
  4 3 3 2 5 4 2 1 3 4 4 0 4 3 5 3 2 0 0 -> 4 3 3 2 5 4 2 1 3 4 4 0 4 3 3 5 2 0 0 ,
  5 0 4 4 2 4 3 0 0 2 5 2 3 3 1 5 2 2 4 -> 5 0 4 2 4 4 3 0 0 2 5 2 3 3 1 5 2 2 4 ,
  3 1 2 5 5 3 3 1 3 4 1 4 3 0 1 4 3 2 0 4 -> 3 1 5 5 0 2 3 3 1 3 3 4 4 1 4 1 2 3 0 4 ,
  2 0 5 2 3 2 3 4 1 5 0 0 4 4 0 1 4 2 3 5 4 1 -> 2 0 5 2 3 2 3 4 5 1 0 0 4 4 0 1 4 2 3 5 4 1 ,
  2 0 5 5 3 1 0 2 0 2 4 1 4 3 2 3 2 2 1 5 5 4 -> 2 0 5 3 5 1 0 2 0 2 1 4 4 3 2 3 2 2 1 5 5 4 ,
  2 2 2 5 2 5 1 2 3 1 2 1 5 2 5 4 3 3 3 0 5 2 -> 2 2 2 5 2 1 5 2 3 1 2 1 5 2 5 4 3 3 3 0 5 2 ,
  2 3 2 1 3 0 5 3 2 5 0 1 5 2 3 5 5 0 0 4 3 4 -> 2 3 2 1 3 0 5 3 2 5 0 5 1 2 3 5 5 0 0 4 3 4 ,
  0 4 0 5 2 0 1 5 2 4 2 5 2 4 2 1 0 1 4 0 0 1 4 0 -> 0 4 0 5 2 0 1 2 5 4 2 5 2 4 2 1 0 1 4 0 0 1 4 0 ,
  2 5 5 2 5 3 1 5 5 5 1 0 2 1 5 4 2 4 3 4 2 0 1 0 -> 2 5 5 2 5 3 5 1 5 5 1 0 2 1 5 4 2 4 3 4 2 0 1 0 ,
  3 2 3 1 3 1 1 5 5 5 5 4 2 4 3 5 4 1 5 4 1 3 5 2 -> 3 2 3 1 3 1 1 5 5 5 5 4 2 4 3 5 1 4 5 4 1 3 5 2 ,
  4 2 4 0 5 3 1 1 2 4 4 1 5 1 4 2 3 5 2 4 0 1 2 5 -> 4 0 3 2 4 1 1 5 5 2 1 2 4 4 4 5 3 1 2 1 0 5 2 4 ,
  5 3 5 0 5 5 0 5 2 1 3 2 2 1 0 0 4 5 1 0 2 2 3 0 -> 5 3 5 0 5 5 5 0 2 1 3 2 2 1 0 0 4 5 1 0 2 2 3 0 ,
  3 1 1 1 3 4 0 1 4 1 4 0 1 2 0 5 3 4 5 2 4 3 2 0 2 -> 3 1 1 1 3 0 4 1 4 1 4 0 1 2 0 5 3 4 5 2 4 3 2 0 2 ,
  4 2 4 3 2 1 4 0 3 1 4 5 2 4 5 5 5 1 2 0 4 0 2 2 2 -> 4 2 4 3 2 1 0 4 3 1 4 5 2 4 5 5 5 1 2 0 4 0 2 2 2 ,
  5 5 0 0 0 5 4 1 5 3 4 3 5 3 1 4 0 3 0 5 0 0 3 5 0 3 -> 5 5 0 0 0 4 5 1 5 3 4 3 5 3 1 4 0 3 0 5 0 0 3 5 0 3 ,
  5 5 5 3 2 1 0 5 3 2 0 4 5 0 4 4 0 2 1 4 3 4 5 0 2 2 -> 5 5 5 2 3 1 0 5 3 2 0 4 5 0 4 4 0 2 1 4 3 4 5 0 2 2 ,
  0 1 4 1 5 1 2 0 1 3 0 2 0 5 0 5 5 0 4 4 0 5 4 3 0 1 2 -> 0 1 4 1 5 1 2 1 0 3 0 2 0 5 0 5 5 0 4 4 0 5 4 3 0 1 2 ,
  5 2 2 0 5 2 2 4 3 1 3 0 0 0 0 0 4 5 0 1 4 5 4 0 0 3 4 -> 5 2 2 0 5 2 4 2 3 1 3 0 0 0 0 0 4 5 0 1 4 5 4 0 0 3 4 ,
  0 3 4 2 0 5 4 1 0 2 5 0 1 0 1 3 4 0 3 0 5 0 3 0 4 4 0 3 -> 0 3 4 2 0 5 4 1 0 2 5 0 1 0 3 1 4 0 3 0 5 0 3 0 4 4 0 3 ,
  1 5 0 5 3 2 5 5 3 3 3 3 0 5 3 5 0 1 1 5 5 0 1 0 4 0 1 3 -> 5 1 0 5 3 5 5 2 3 3 3 0 3 3 5 5 1 0 5 1 5 0 1 0 4 0 1 3 ,
  4 0 2 5 0 4 5 3 5 3 5 5 5 3 0 0 5 5 3 5 3 5 1 1 1 2 5 2 -> 4 5 5 0 3 0 2 3 5 5 4 3 5 5 0 5 1 5 0 5 1 3 5 5 3 2 1 2 ,
  4 3 1 4 3 5 2 2 5 3 0 1 2 1 2 2 0 5 0 4 5 1 5 3 5 3 2 3 -> 4 3 4 2 3 1 5 5 0 3 2 2 1 2 1 2 5 4 0 0 3 5 1 5 2 3 5 3 ,
  2 4 0 1 4 4 5 1 2 2 5 5 0 2 2 2 2 4 2 5 2 5 4 2 3 1 0 4 0 4 -> 2 4 0 1 4 4 5 1 2 2 5 5 0 2 2 2 2 4 2 2 5 5 4 2 3 1 0 4 0 4 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 7:

0 is interpreted by
 /             \
| 1 0 1 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
1 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
2 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 |
 \             /
3 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
4 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /
5 is interpreted by
 /             \
| 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 |
 \             /

After renaming modulo { 3->0, 1->1, 4->2, 0->3, 5->4, 2->5 }, 
it remains to prove termination of the 47-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  0 2 3 4 2 2 5 -> 0 2 4 2 3 2 5 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  1 4 3 3 1 3 5 2 1 1 2 -> 1 4 3 1 3 3 5 2 1 1 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  0 3 2 4 3 1 5 0 1 2 4 3 1 -> 0 3 2 4 1 3 5 0 1 2 4 3 1 ,
  4 1 1 0 1 3 1 4 1 1 2 4 0 -> 4 1 1 0 1 3 1 1 4 1 2 4 0 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  3 4 5 0 1 1 3 2 3 5 4 3 2 2 5 -> 3 4 0 1 5 1 5 3 3 2 4 2 3 2 5 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  3 3 1 4 0 5 2 1 0 2 4 0 5 4 2 4 5 0 -> 3 3 1 0 4 5 2 1 0 2 4 0 5 4 2 4 5 0 ,
  5 0 1 5 3 1 5 5 1 3 1 4 5 1 2 2 3 1 -> 5 0 1 5 3 1 5 1 5 3 1 4 5 1 2 2 3 1 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  4 3 2 2 5 2 0 3 3 5 4 5 0 0 1 4 5 5 2 -> 4 3 2 5 2 2 0 3 3 5 4 5 0 0 1 4 5 5 2 ,
  0 1 5 4 4 0 0 1 0 2 1 2 0 3 1 2 0 5 3 2 -> 0 1 4 4 3 5 0 0 1 0 0 2 2 1 2 1 5 0 3 2 ,
  5 3 4 5 0 5 0 2 1 4 3 3 2 2 3 1 2 5 0 4 2 1 -> 5 3 4 5 0 5 0 2 4 1 3 3 2 2 3 1 2 5 0 4 2 1 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 8:

0 is interpreted by
 /               \
| 1 0 1 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
 \               /
1 is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
 \               /
2 is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 |
 \               /
3 is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
 \               /
4 is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
 \               /
5 is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
 \               /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 46-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  1 4 3 3 1 3 5 2 1 1 2 -> 1 4 3 1 3 3 5 2 1 1 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  0 3 2 4 3 1 5 0 1 2 4 3 1 -> 0 3 2 4 1 3 5 0 1 2 4 3 1 ,
  4 1 1 0 1 3 1 4 1 1 2 4 0 -> 4 1 1 0 1 3 1 1 4 1 2 4 0 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  3 4 5 0 1 1 3 2 3 5 4 3 2 2 5 -> 3 4 0 1 5 1 5 3 3 2 4 2 3 2 5 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  3 3 1 4 0 5 2 1 0 2 4 0 5 4 2 4 5 0 -> 3 3 1 0 4 5 2 1 0 2 4 0 5 4 2 4 5 0 ,
  5 0 1 5 3 1 5 5 1 3 1 4 5 1 2 2 3 1 -> 5 0 1 5 3 1 5 1 5 3 1 4 5 1 2 2 3 1 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  4 3 2 2 5 2 0 3 3 5 4 5 0 0 1 4 5 5 2 -> 4 3 2 5 2 2 0 3 3 5 4 5 0 0 1 4 5 5 2 ,
  0 1 5 4 4 0 0 1 0 2 1 2 0 3 1 2 0 5 3 2 -> 0 1 4 4 3 5 0 0 1 0 0 2 2 1 2 1 5 0 3 2 ,
  5 3 4 5 0 5 0 2 1 4 3 3 2 2 3 1 2 5 0 4 2 1 -> 5 3 4 5 0 5 0 2 4 1 3 3 2 2 3 1 2 5 0 4 2 1 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 12:

0 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
1 is interpreted by
 /                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
2 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
 \                       /
3 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
4 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /
5 is interpreted by
 /                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                       /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 45-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  0 3 2 4 3 1 5 0 1 2 4 3 1 -> 0 3 2 4 1 3 5 0 1 2 4 3 1 ,
  4 1 1 0 1 3 1 4 1 1 2 4 0 -> 4 1 1 0 1 3 1 1 4 1 2 4 0 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  3 4 5 0 1 1 3 2 3 5 4 3 2 2 5 -> 3 4 0 1 5 1 5 3 3 2 4 2 3 2 5 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  3 3 1 4 0 5 2 1 0 2 4 0 5 4 2 4 5 0 -> 3 3 1 0 4 5 2 1 0 2 4 0 5 4 2 4 5 0 ,
  5 0 1 5 3 1 5 5 1 3 1 4 5 1 2 2 3 1 -> 5 0 1 5 3 1 5 1 5 3 1 4 5 1 2 2 3 1 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  4 3 2 2 5 2 0 3 3 5 4 5 0 0 1 4 5 5 2 -> 4 3 2 5 2 2 0 3 3 5 4 5 0 0 1 4 5 5 2 ,
  0 1 5 4 4 0 0 1 0 2 1 2 0 3 1 2 0 5 3 2 -> 0 1 4 4 3 5 0 0 1 0 0 2 2 1 2 1 5 0 3 2 ,
  5 3 4 5 0 5 0 2 1 4 3 3 2 2 3 1 2 5 0 4 2 1 -> 5 3 4 5 0 5 0 2 4 1 3 3 2 2 3 1 2 5 0 4 2 1 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 14:

0 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
1 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
2 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
3 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
4 is interpreted by
 /                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
5 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 44-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  0 3 2 4 3 1 5 0 1 2 4 3 1 -> 0 3 2 4 1 3 5 0 1 2 4 3 1 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  3 4 5 0 1 1 3 2 3 5 4 3 2 2 5 -> 3 4 0 1 5 1 5 3 3 2 4 2 3 2 5 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  3 3 1 4 0 5 2 1 0 2 4 0 5 4 2 4 5 0 -> 3 3 1 0 4 5 2 1 0 2 4 0 5 4 2 4 5 0 ,
  5 0 1 5 3 1 5 5 1 3 1 4 5 1 2 2 3 1 -> 5 0 1 5 3 1 5 1 5 3 1 4 5 1 2 2 3 1 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  4 3 2 2 5 2 0 3 3 5 4 5 0 0 1 4 5 5 2 -> 4 3 2 5 2 2 0 3 3 5 4 5 0 0 1 4 5 5 2 ,
  0 1 5 4 4 0 0 1 0 2 1 2 0 3 1 2 0 5 3 2 -> 0 1 4 4 3 5 0 0 1 0 0 2 2 1 2 1 5 0 3 2 ,
  5 3 4 5 0 5 0 2 1 4 3 3 2 2 3 1 2 5 0 4 2 1 -> 5 3 4 5 0 5 0 2 4 1 3 3 2 2 3 1 2 5 0 4 2 1 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 16:

0 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
1 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
2 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
3 is interpreted by
 /                               \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
4 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /
5 is interpreted by
 /                               \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                               /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 43-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  0 3 2 4 3 1 5 0 1 2 4 3 1 -> 0 3 2 4 1 3 5 0 1 2 4 3 1 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  3 3 1 4 0 5 2 1 0 2 4 0 5 4 2 4 5 0 -> 3 3 1 0 4 5 2 1 0 2 4 0 5 4 2 4 5 0 ,
  5 0 1 5 3 1 5 5 1 3 1 4 5 1 2 2 3 1 -> 5 0 1 5 3 1 5 1 5 3 1 4 5 1 2 2 3 1 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  4 3 2 2 5 2 0 3 3 5 4 5 0 0 1 4 5 5 2 -> 4 3 2 5 2 2 0 3 3 5 4 5 0 0 1 4 5 5 2 ,
  0 1 5 4 4 0 0 1 0 2 1 2 0 3 1 2 0 5 3 2 -> 0 1 4 4 3 5 0 0 1 0 0 2 2 1 2 1 5 0 3 2 ,
  5 3 4 5 0 5 0 2 1 4 3 3 2 2 3 1 2 5 0 4 2 1 -> 5 3 4 5 0 5 0 2 4 1 3 3 2 2 3 1 2 5 0 4 2 1 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 19:

0 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
1 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
2 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
3 is interpreted by
 /                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
4 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
5 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 42-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  0 3 2 4 3 1 5 0 1 2 4 3 1 -> 0 3 2 4 1 3 5 0 1 2 4 3 1 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  5 0 1 5 3 1 5 5 1 3 1 4 5 1 2 2 3 1 -> 5 0 1 5 3 1 5 1 5 3 1 4 5 1 2 2 3 1 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  4 3 2 2 5 2 0 3 3 5 4 5 0 0 1 4 5 5 2 -> 4 3 2 5 2 2 0 3 3 5 4 5 0 0 1 4 5 5 2 ,
  0 1 5 4 4 0 0 1 0 2 1 2 0 3 1 2 0 5 3 2 -> 0 1 4 4 3 5 0 0 1 0 0 2 2 1 2 1 5 0 3 2 ,
  5 3 4 5 0 5 0 2 1 4 3 3 2 2 3 1 2 5 0 4 2 1 -> 5 3 4 5 0 5 0 2 4 1 3 3 2 2 3 1 2 5 0 4 2 1 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 19:

0 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
1 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
2 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
3 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
4 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
5 is interpreted by
 /                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 41-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  0 3 2 4 3 1 5 0 1 2 4 3 1 -> 0 3 2 4 1 3 5 0 1 2 4 3 1 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  4 3 2 2 5 2 0 3 3 5 4 5 0 0 1 4 5 5 2 -> 4 3 2 5 2 2 0 3 3 5 4 5 0 0 1 4 5 5 2 ,
  0 1 5 4 4 0 0 1 0 2 1 2 0 3 1 2 0 5 3 2 -> 0 1 4 4 3 5 0 0 1 0 0 2 2 1 2 1 5 0 3 2 ,
  5 3 4 5 0 5 0 2 1 4 3 3 2 2 3 1 2 5 0 4 2 1 -> 5 3 4 5 0 5 0 2 4 1 3 3 2 2 3 1 2 5 0 4 2 1 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 20:

0 is interpreted by
 /                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /
1 is interpreted by
 /                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /
2 is interpreted by
 /                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /
3 is interpreted by
 /                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /
4 is interpreted by
 /                                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /
5 is interpreted by
 /                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 40-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  0 3 2 4 3 1 5 0 1 2 4 3 1 -> 0 3 2 4 1 3 5 0 1 2 4 3 1 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  0 1 5 4 4 0 0 1 0 2 1 2 0 3 1 2 0 5 3 2 -> 0 1 4 4 3 5 0 0 1 0 0 2 2 1 2 1 5 0 3 2 ,
  5 3 4 5 0 5 0 2 1 4 3 3 2 2 3 1 2 5 0 4 2 1 -> 5 3 4 5 0 5 0 2 4 1 3 3 2 2 3 1 2 5 0 4 2 1 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 21:

0 is interpreted by
 /                                         \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                         /
1 is interpreted by
 /                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                         /
2 is interpreted by
 /                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                         /
3 is interpreted by
 /                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                         /
4 is interpreted by
 /                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                         /
5 is interpreted by
 /                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                         /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 39-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  0 3 2 4 3 1 5 0 1 2 4 3 1 -> 0 3 2 4 1 3 5 0 1 2 4 3 1 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  5 3 4 5 0 5 0 2 1 4 3 3 2 2 3 1 2 5 0 4 2 1 -> 5 3 4 5 0 5 0 2 4 1 3 3 2 2 3 1 2 5 0 4 2 1 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 14:

0 is interpreted by
 /                           \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
1 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
2 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
3 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
4 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /
5 is interpreted by
 /                           \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                           /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 38-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  5 3 4 5 0 5 0 2 1 4 3 3 2 2 3 1 2 5 0 4 2 1 -> 5 3 4 5 0 5 0 2 4 1 3 3 2 2 3 1 2 5 0 4 2 1 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 23:

0 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
1 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
2 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
3 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
4 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
5 is interpreted by
 /                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 37-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 5 5 4 5 4 1 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 -> 5 5 5 4 5 1 4 5 0 1 5 1 4 5 4 2 0 0 0 3 4 5 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 23:

0 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
1 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
2 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
3 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
4 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
5 is interpreted by
 /                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 36-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 2 1 4 2 1 0 4 5 -> 0 5 0 1 0 1 1 4 4 4 4 2 5 2 0 4 1 2 4 2 1 0 4 5 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 25:

0 is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
1 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
2 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
3 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
4 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
5 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 35-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 3 3 3 4 2 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 -> 4 4 3 3 3 2 4 1 4 0 2 0 4 0 1 2 3 0 3 4 3 3 0 4 3 0 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 27:

0 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
1 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
2 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
3 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
4 is interpreted by
 /                                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
5 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 34-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 4 4 0 5 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 -> 4 4 4 5 0 1 3 4 0 5 3 2 4 3 2 2 3 5 1 2 0 2 4 3 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 27:

0 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
1 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
2 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
3 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
4 is interpreted by
 /                                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /
5 is interpreted by
 /                                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                     /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 33-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  3 1 2 1 4 1 5 3 1 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 -> 3 1 2 1 4 1 5 1 3 0 3 5 3 4 3 4 4 3 2 2 3 4 2 0 3 1 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 28:

0 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
1 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
2 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
3 is interpreted by
 /                                                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
4 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
5 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 32-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  1 4 3 4 0 5 4 4 0 0 0 0 3 4 0 4 3 1 1 4 4 3 1 3 2 3 1 0 -> 4 1 3 4 0 4 4 5 0 0 0 3 0 0 4 4 1 3 4 1 4 3 1 3 2 3 1 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 29:

0 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
1 is interpreted by
 /                                                         \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
2 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
3 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
4 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /
5 is interpreted by
 /                                                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                         /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 31-rule system
{ 0 1 2 2 3 4 1 -> 0 2 4 1 3 2 1 ,
  1 3 0 5 3 2 3 4 -> 1 3 3 0 5 3 2 4 ,
  0 2 3 4 2 3 1 4 -> 0 3 2 4 2 3 1 4 ,
  4 0 3 1 4 1 4 1 4 -> 4 4 1 3 0 1 4 1 4 ,
  2 3 0 2 1 4 5 5 4 2 -> 3 5 1 2 2 4 5 0 4 2 ,
  5 4 2 4 3 1 2 3 4 0 5 3 -> 5 1 2 2 3 3 0 4 4 4 5 3 ,
  1 2 2 3 1 1 0 4 3 2 4 0 5 1 -> 1 2 1 3 4 1 0 2 2 3 0 4 5 1 ,
  5 2 3 2 3 5 5 5 1 2 3 4 4 0 4 4 -> 5 2 3 2 3 5 5 5 2 1 3 4 4 0 4 4 ,
  1 1 3 3 1 4 3 5 2 3 5 2 2 0 5 3 3 -> 1 1 3 1 3 4 5 3 5 2 3 2 2 0 5 3 3 ,
  5 0 2 4 0 3 0 3 1 2 0 1 5 3 5 3 4 -> 5 0 2 4 0 3 0 3 1 0 2 1 5 3 5 3 4 ,
  0 5 5 4 1 0 5 1 0 1 0 3 0 5 1 0 3 -> 0 5 5 4 0 1 5 1 0 1 0 3 0 5 1 0 3 ,
  2 3 4 2 3 1 3 2 0 5 1 4 4 0 3 3 2 -> 2 3 4 2 3 1 3 2 5 0 1 4 4 0 3 3 2 ,
  2 4 2 0 3 5 1 0 5 4 5 2 3 4 2 5 5 -> 2 4 2 0 3 5 1 0 5 4 5 2 4 3 2 5 5 ,
  2 4 3 4 4 3 3 4 3 1 4 5 0 1 5 4 0 3 -> 2 4 3 4 4 3 3 3 4 1 4 5 0 1 5 4 0 3 ,
  4 1 1 5 5 1 2 1 4 2 3 1 0 3 0 0 3 5 -> 4 1 5 1 5 1 2 1 4 2 3 1 0 3 0 0 3 5 ,
  4 5 5 3 1 2 4 5 5 0 5 0 0 1 3 5 0 2 -> 4 5 5 3 1 2 4 5 5 0 5 0 0 1 5 3 0 2 ,
  5 2 1 1 3 5 4 2 3 2 1 1 4 3 5 3 3 4 4 -> 5 1 2 5 1 3 4 1 2 3 2 1 3 4 3 5 3 4 4 ,
  2 0 0 5 4 2 5 1 0 2 2 3 2 0 4 0 5 3 3 -> 2 0 0 5 4 2 5 1 0 2 2 3 2 0 0 4 5 3 3 ,
  5 3 4 4 0 1 3 5 3 5 2 1 2 0 5 0 5 5 1 4 4 2 -> 5 3 4 0 4 1 3 5 3 5 1 2 2 0 5 0 5 5 1 4 4 2 ,
  5 0 5 1 0 3 4 0 5 4 3 1 4 5 0 4 4 3 3 2 0 2 -> 5 0 5 1 0 3 4 0 5 4 3 4 1 5 0 4 4 3 3 2 0 2 ,
  3 2 3 4 5 3 1 4 5 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 -> 3 2 3 4 5 3 1 5 4 2 5 4 5 2 5 1 3 1 2 3 3 1 2 3 ,
  5 4 4 5 4 0 1 4 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 -> 5 4 4 5 4 0 4 1 4 4 1 3 5 1 4 2 5 2 0 2 5 3 1 3 ,
  2 5 2 3 4 0 1 1 5 2 2 1 4 1 2 5 0 4 5 2 3 1 5 4 -> 2 3 0 5 2 1 1 4 4 5 1 5 2 2 2 4 0 1 5 1 3 4 5 2 ,
  4 0 4 3 4 4 3 4 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 -> 4 0 4 3 4 4 4 3 5 1 0 5 5 1 3 3 2 4 1 3 5 5 0 3 ,
  0 1 1 1 0 2 3 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 -> 0 1 1 1 0 3 2 1 2 1 2 3 1 5 3 4 0 2 4 5 2 0 5 3 5 ,
  2 5 2 0 5 1 2 3 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 -> 2 5 2 0 5 1 3 2 0 1 2 4 5 2 4 4 4 1 5 3 2 3 5 5 5 ,
  4 5 5 3 4 5 5 2 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 -> 4 5 5 3 4 5 2 5 0 1 0 3 3 3 3 3 2 4 3 1 2 4 2 3 3 0 2 ,
  3 0 2 5 3 4 2 1 3 5 4 3 1 3 1 0 2 3 0 3 4 3 0 3 2 2 3 0 -> 3 0 2 5 3 4 2 1 3 5 4 3 1 3 0 1 2 3 0 3 4 3 0 3 2 2 3 0 ,
  2 3 5 4 3 2 4 0 4 0 4 4 4 0 3 3 4 4 0 4 0 4 1 1 1 5 4 5 -> 2 4 4 3 0 3 5 0 4 4 2 0 4 4 3 4 1 4 3 4 1 0 4 4 0 5 1 5 ,
  2 0 1 2 0 4 5 5 4 0 3 1 5 1 5 5 3 4 3 2 4 1 4 0 4 0 5 0 -> 2 0 2 5 0 1 4 4 3 0 5 5 1 5 1 5 4 2 3 3 0 4 1 4 5 0 4 0 ,
  5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 4 5 4 2 5 0 1 3 2 3 2 -> 5 2 3 1 2 2 4 1 5 5 4 4 3 5 5 5 5 2 5 5 4 4 2 5 0 1 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 8:

0 is interpreted by
 /               \
| 1 0 1 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
 \               /
1 is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
 \               /
2 is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
 \               /
3 is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
 \               /
4 is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 |
 \               /
5 is interpreted by
 /               \
| 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 |
 \               /

After renaming modulo { 1->0, 3->1, 0->2, 5->3, 2->4, 4->5 }, 
it remains to prove termination of the 30-rule system
{ 0 1 2 3 1 4 1 5 -> 0 1 1 2 3 1 4 5 ,
  2 4 1 5 4 1 0 5 -> 2 1 4 5 4 1 0 5 ,
  5 2 1 0 5 0 5 0 5 -> 5 5 0 1 2 0 5 0 5 ,
  4 1 2 4 0 5 3 3 5 4 -> 1 3 0 4 4 5 3 2 5 4 ,
  3 5 4 5 1 0 4 1 5 2 3 1 -> 3 0 4 4 1 1 2 5 5 5 3 1 ,
  0 4 4 1 0 0 2 5 1 4 5 2 3 0 -> 0 4 0 1 5 0 2 4 4 1 2 5 3 0 ,
  3 4 1 4 1 3 3 3 0 4 1 5 5 2 5 5 -> 3 4 1 4 1 3 3 3 4 0 1 5 5 2 5 5 ,
  0 0 1 1 0 5 1 3 4 1 3 4 4 2 3 1 1 -> 0 0 1 0 1 5 3 1 3 4 1 4 4 2 3 1 1 ,
  3 2 4 5 2 1 2 1 0 4 2 0 3 1 3 1 5 -> 3 2 4 5 2 1 2 1 0 2 4 0 3 1 3 1 5 ,
  2 3 3 5 0 2 3 0 2 0 2 1 2 3 0 2 1 -> 2 3 3 5 2 0 3 0 2 0 2 1 2 3 0 2 1 ,
  4 1 5 4 1 0 1 4 2 3 0 5 5 2 1 1 4 -> 4 1 5 4 1 0 1 4 3 2 0 5 5 2 1 1 4 ,
  4 5 4 2 1 3 0 2 3 5 3 4 1 5 4 3 3 -> 4 5 4 2 1 3 0 2 3 5 3 4 5 1 4 3 3 ,
  4 5 1 5 5 1 1 5 1 0 5 3 2 0 3 5 2 1 -> 4 5 1 5 5 1 1 1 5 0 5 3 2 0 3 5 2 1 ,
  5 0 0 3 3 0 4 0 5 4 1 0 2 1 2 2 1 3 -> 5 0 3 0 3 0 4 0 5 4 1 0 2 1 2 2 1 3 ,
  5 3 3 1 0 4 5 3 3 2 3 2 2 0 1 3 2 4 -> 5 3 3 1 0 4 5 3 3 2 3 2 2 0 3 1 2 4 ,
  3 4 0 0 1 3 5 4 1 4 0 0 5 1 3 1 1 5 5 -> 3 0 4 3 0 1 5 0 4 1 4 0 1 5 1 3 1 5 5 ,
  4 2 2 3 5 4 3 0 2 4 4 1 4 2 5 2 3 1 1 -> 4 2 2 3 5 4 3 0 2 4 4 1 4 2 2 5 3 1 1 ,
  3 1 5 5 2 0 1 3 1 3 4 0 4 2 3 2 3 3 0 5 5 4 -> 3 1 5 2 5 0 1 3 1 3 0 4 4 2 3 2 3 3 0 5 5 4 ,
  3 2 3 0 2 1 5 2 3 5 1 0 5 3 2 5 5 1 1 4 2 4 -> 3 2 3 0 2 1 5 2 3 5 1 5 0 3 2 5 5 1 1 4 2 4 ,
  1 4 1 5 3 1 0 5 3 4 3 5 3 4 3 0 1 0 4 1 1 0 4 1 -> 1 4 1 5 3 1 0 3 5 4 3 5 3 4 3 0 1 0 4 1 1 0 4 1 ,
  3 5 5 3 5 2 0 5 5 5 0 1 3 0 5 4 3 4 2 4 3 1 0 1 -> 3 5 5 3 5 2 5 0 5 5 0 1 3 0 5 4 3 4 2 4 3 1 0 1 ,
  4 3 4 1 5 2 0 0 3 4 4 0 5 0 4 3 2 5 3 4 1 0 3 5 -> 4 1 2 3 4 0 0 5 5 3 0 3 4 4 4 5 2 0 3 0 1 5 3 4 ,
  5 2 5 1 5 5 1 5 3 0 2 3 3 0 1 1 4 5 0 1 3 3 2 1 -> 5 2 5 1 5 5 5 1 3 0 2 3 3 0 1 1 4 5 0 1 3 3 2 1 ,
  2 0 0 0 2 4 1 0 4 0 4 1 0 3 1 5 2 4 5 3 4 2 3 1 3 -> 2 0 0 0 2 1 4 0 4 0 4 1 0 3 1 5 2 4 5 3 4 2 3 1 3 ,
  4 3 4 2 3 0 4 1 2 0 4 5 3 4 5 5 5 0 3 1 4 1 3 3 3 -> 4 3 4 2 3 0 1 4 2 0 4 5 3 4 5 5 5 0 3 1 4 1 3 3 3 ,
  5 3 3 1 5 3 3 4 2 0 2 1 1 1 1 1 4 5 1 0 4 5 4 1 1 2 4 -> 5 3 3 1 5 3 4 3 2 0 2 1 1 1 1 1 4 5 1 0 4 5 4 1 1 2 4 ,
  1 2 4 3 1 5 4 0 1 3 5 1 0 1 0 2 4 1 2 1 5 1 2 1 4 4 1 2 -> 1 2 4 3 1 5 4 0 1 3 5 1 0 1 2 0 4 1 2 1 5 1 2 1 4 4 1 2 ,
  4 1 3 5 1 4 5 2 5 2 5 5 5 2 1 1 5 5 2 5 2 5 0 0 0 3 5 3 -> 4 5 5 1 2 1 3 2 5 5 4 2 5 5 1 5 0 5 1 5 0 2 5 5 2 3 0 3 ,
  4 2 0 4 2 5 3 3 5 2 1 0 3 0 3 3 1 5 1 4 5 0 5 2 5 2 3 2 -> 4 2 4 3 2 0 5 5 1 2 3 3 0 3 0 3 5 4 1 1 2 5 0 5 3 2 5 2 ,
  3 4 1 0 4 4 5 0 3 3 5 5 1 3 3 3 3 4 3 5 3 5 4 3 2 0 1 4 1 4 -> 3 4 1 0 4 4 5 0 3 3 5 5 1 3 3 3 3 4 3 3 5 5 4 3 2 0 1 4 1 4 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 9:

0 is interpreted by
 /                 \
| 1 0 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /
1 is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /
2 is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /
3 is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /
4 is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /
5 is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
 \                 /

After renaming modulo { 2->0, 4->1, 1->2, 5->3, 0->4, 3->5 }, 
it remains to prove termination of the 29-rule system
{ 0 1 2 3 1 2 4 3 -> 0 2 1 3 1 2 4 3 ,
  3 0 2 4 3 4 3 4 3 -> 3 3 4 2 0 4 3 4 3 ,
  1 2 0 1 4 3 5 5 3 1 -> 2 5 4 1 1 3 5 0 3 1 ,
  5 3 1 3 2 4 1 2 3 0 5 2 -> 5 4 1 1 2 2 0 3 3 3 5 2 ,
  4 1 1 2 4 4 0 3 2 1 3 0 5 4 -> 4 1 4 2 3 4 0 1 1 2 0 3 5 4 ,
  5 1 2 1 2 5 5 5 4 1 2 3 3 0 3 3 -> 5 1 2 1 2 5 5 5 1 4 2 3 3 0 3 3 ,
  4 4 2 2 4 3 2 5 1 2 5 1 1 0 5 2 2 -> 4 4 2 4 2 3 5 2 5 1 2 1 1 0 5 2 2 ,
  5 0 1 3 0 2 0 2 4 1 0 4 5 2 5 2 3 -> 5 0 1 3 0 2 0 2 4 0 1 4 5 2 5 2 3 ,
  0 5 5 3 4 0 5 4 0 4 0 2 0 5 4 0 2 -> 0 5 5 3 0 4 5 4 0 4 0 2 0 5 4 0 2 ,
  1 2 3 1 2 4 2 1 0 5 4 3 3 0 2 2 1 -> 1 2 3 1 2 4 2 1 5 0 4 3 3 0 2 2 1 ,
  1 3 1 0 2 5 4 0 5 3 5 1 2 3 1 5 5 -> 1 3 1 0 2 5 4 0 5 3 5 1 3 2 1 5 5 ,
  1 3 2 3 3 2 2 3 2 4 3 5 0 4 5 3 0 2 -> 1 3 2 3 3 2 2 2 3 4 3 5 0 4 5 3 0 2 ,
  3 4 4 5 5 4 1 4 3 1 2 4 0 2 0 0 2 5 -> 3 4 5 4 5 4 1 4 3 1 2 4 0 2 0 0 2 5 ,
  3 5 5 2 4 1 3 5 5 0 5 0 0 4 2 5 0 1 -> 3 5 5 2 4 1 3 5 5 0 5 0 0 4 5 2 0 1 ,
  5 1 4 4 2 5 3 1 2 1 4 4 3 2 5 2 2 3 3 -> 5 4 1 5 4 2 3 4 1 2 1 4 2 3 2 5 2 3 3 ,
  1 0 0 5 3 1 5 4 0 1 1 2 1 0 3 0 5 2 2 -> 1 0 0 5 3 1 5 4 0 1 1 2 1 0 0 3 5 2 2 ,
  5 2 3 3 0 4 2 5 2 5 1 4 1 0 5 0 5 5 4 3 3 1 -> 5 2 3 0 3 4 2 5 2 5 4 1 1 0 5 0 5 5 4 3 3 1 ,
  5 0 5 4 0 2 3 0 5 3 2 4 3 5 0 3 3 2 2 1 0 1 -> 5 0 5 4 0 2 3 0 5 3 2 3 4 5 0 3 3 2 2 1 0 1 ,
  2 1 2 3 5 2 4 3 5 1 5 3 5 1 5 4 2 4 1 2 2 4 1 2 -> 2 1 2 3 5 2 4 5 3 1 5 3 5 1 5 4 2 4 1 2 2 4 1 2 ,
  5 3 3 5 3 0 4 3 3 3 4 2 5 4 3 1 5 1 0 1 5 2 4 2 -> 5 3 3 5 3 0 3 4 3 3 4 2 5 4 3 1 5 1 0 1 5 2 4 2 ,
  1 5 1 2 3 0 4 4 5 1 1 4 3 4 1 5 0 3 5 1 2 4 5 3 -> 1 2 0 5 1 4 4 3 3 5 4 5 1 1 1 3 0 4 5 4 2 3 5 1 ,
  3 0 3 2 3 3 2 3 5 4 0 5 5 4 2 2 1 3 4 2 5 5 0 2 -> 3 0 3 2 3 3 3 2 5 4 0 5 5 4 2 2 1 3 4 2 5 5 0 2 ,
  0 4 4 4 0 1 2 4 1 4 1 2 4 5 2 3 0 1 3 5 1 0 5 2 5 -> 0 4 4 4 0 2 1 4 1 4 1 2 4 5 2 3 0 1 3 5 1 0 5 2 5 ,
  1 5 1 0 5 4 1 2 0 4 1 3 5 1 3 3 3 4 5 2 1 2 5 5 5 -> 1 5 1 0 5 4 2 1 0 4 1 3 5 1 3 3 3 4 5 2 1 2 5 5 5 ,
  3 5 5 2 3 5 5 1 0 4 0 2 2 2 2 2 1 3 2 4 1 3 1 2 2 0 1 -> 3 5 5 2 3 5 1 5 0 4 0 2 2 2 2 2 1 3 2 4 1 3 1 2 2 0 1 ,
  2 0 1 5 2 3 1 4 2 5 3 2 4 2 4 0 1 2 0 2 3 2 0 2 1 1 2 0 -> 2 0 1 5 2 3 1 4 2 5 3 2 4 2 0 4 1 2 0 2 3 2 0 2 1 1 2 0 ,
  1 2 5 3 2 1 3 0 3 0 3 3 3 0 2 2 3 3 0 3 0 3 4 4 4 5 3 5 -> 1 3 3 2 0 2 5 0 3 3 1 0 3 3 2 3 4 3 2 3 4 0 3 3 0 5 4 5 ,
  1 0 4 1 0 3 5 5 3 0 2 4 5 4 5 5 2 3 2 1 3 4 3 0 3 0 5 0 -> 1 0 1 5 0 4 3 3 2 0 5 5 4 5 4 5 3 1 2 2 0 3 4 3 5 0 3 0 ,
  5 1 2 4 1 1 3 4 5 5 3 3 2 5 5 5 5 1 5 3 5 3 1 5 0 4 2 1 2 1 -> 5 1 2 4 1 1 3 4 5 5 3 3 2 5 5 5 5 1 5 5 3 3 1 5 0 4 2 1 2 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 9:

0 is interpreted by
 /                 \
| 1 0 1 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /
1 is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /
2 is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /
3 is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
 \                 /
4 is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /
5 is interpreted by
 /                 \
| 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 |
 \                 /

After renaming modulo { 3->0, 0->1, 2->2, 4->3, 1->4, 5->5 }, 
it remains to prove termination of the 28-rule system
{ 0 1 2 3 0 3 0 3 0 -> 0 0 3 2 1 3 0 3 0 ,
  4 2 1 4 3 0 5 5 0 4 -> 2 5 3 4 4 0 5 1 0 4 ,
  5 0 4 0 2 3 4 2 0 1 5 2 -> 5 3 4 4 2 2 1 0 0 0 5 2 ,
  3 4 4 2 3 3 1 0 2 4 0 1 5 3 -> 3 4 3 2 0 3 1 4 4 2 1 0 5 3 ,
  5 4 2 4 2 5 5 5 3 4 2 0 0 1 0 0 -> 5 4 2 4 2 5 5 5 4 3 2 0 0 1 0 0 ,
  3 3 2 2 3 0 2 5 4 2 5 4 4 1 5 2 2 -> 3 3 2 3 2 0 5 2 5 4 2 4 4 1 5 2 2 ,
  5 1 4 0 1 2 1 2 3 4 1 3 5 2 5 2 0 -> 5 1 4 0 1 2 1 2 3 1 4 3 5 2 5 2 0 ,
  1 5 5 0 3 1 5 3 1 3 1 2 1 5 3 1 2 -> 1 5 5 0 1 3 5 3 1 3 1 2 1 5 3 1 2 ,
  4 2 0 4 2 3 2 4 1 5 3 0 0 1 2 2 4 -> 4 2 0 4 2 3 2 4 5 1 3 0 0 1 2 2 4 ,
  4 0 4 1 2 5 3 1 5 0 5 4 2 0 4 5 5 -> 4 0 4 1 2 5 3 1 5 0 5 4 0 2 4 5 5 ,
  4 0 2 0 0 2 2 0 2 3 0 5 1 3 5 0 1 2 -> 4 0 2 0 0 2 2 2 0 3 0 5 1 3 5 0 1 2 ,
  0 3 3 5 5 3 4 3 0 4 2 3 1 2 1 1 2 5 -> 0 3 5 3 5 3 4 3 0 4 2 3 1 2 1 1 2 5 ,
  0 5 5 2 3 4 0 5 5 1 5 1 1 3 2 5 1 4 -> 0 5 5 2 3 4 0 5 5 1 5 1 1 3 5 2 1 4 ,
  5 4 3 3 2 5 0 4 2 4 3 3 0 2 5 2 2 0 0 -> 5 3 4 5 3 2 0 3 4 2 4 3 2 0 2 5 2 0 0 ,
  4 1 1 5 0 4 5 3 1 4 4 2 4 1 0 1 5 2 2 -> 4 1 1 5 0 4 5 3 1 4 4 2 4 1 1 0 5 2 2 ,
  5 2 0 0 1 3 2 5 2 5 4 3 4 1 5 1 5 5 3 0 0 4 -> 5 2 0 1 0 3 2 5 2 5 3 4 4 1 5 1 5 5 3 0 0 4 ,
  5 1 5 3 1 2 0 1 5 0 2 3 0 5 1 0 0 2 2 4 1 4 -> 5 1 5 3 1 2 0 1 5 0 2 0 3 5 1 0 0 2 2 4 1 4 ,
  2 4 2 0 5 2 3 0 5 4 5 0 5 4 5 3 2 3 4 2 2 3 4 2 -> 2 4 2 0 5 2 3 5 0 4 5 0 5 4 5 3 2 3 4 2 2 3 4 2 ,
  5 0 0 5 0 1 3 0 0 0 3 2 5 3 0 4 5 4 1 4 5 2 3 2 -> 5 0 0 5 0 1 0 3 0 0 3 2 5 3 0 4 5 4 1 4 5 2 3 2 ,
  4 5 4 2 0 1 3 3 5 4 4 3 0 3 4 5 1 0 5 4 2 3 5 0 -> 4 2 1 5 4 3 3 0 0 5 3 5 4 4 4 0 1 3 5 3 2 0 5 4 ,
  0 1 0 2 0 0 2 0 5 3 1 5 5 3 2 2 4 0 3 2 5 5 1 2 -> 0 1 0 2 0 0 0 2 5 3 1 5 5 3 2 2 4 0 3 2 5 5 1 2 ,
  1 3 3 3 1 4 2 3 4 3 4 2 3 5 2 0 1 4 0 5 4 1 5 2 5 -> 1 3 3 3 1 2 4 3 4 3 4 2 3 5 2 0 1 4 0 5 4 1 5 2 5 ,
  4 5 4 1 5 3 4 2 1 3 4 0 5 4 0 0 0 3 5 2 4 2 5 5 5 -> 4 5 4 1 5 3 2 4 1 3 4 0 5 4 0 0 0 3 5 2 4 2 5 5 5 ,
  0 5 5 2 0 5 5 4 1 3 1 2 2 2 2 2 4 0 2 3 4 0 4 2 2 1 4 -> 0 5 5 2 0 5 4 5 1 3 1 2 2 2 2 2 4 0 2 3 4 0 4 2 2 1 4 ,
  2 1 4 5 2 0 4 3 2 5 0 2 3 2 3 1 4 2 1 2 0 2 1 2 4 4 2 1 -> 2 1 4 5 2 0 4 3 2 5 0 2 3 2 1 3 4 2 1 2 0 2 1 2 4 4 2 1 ,
  4 2 5 0 2 4 0 1 0 1 0 0 0 1 2 2 0 0 1 0 1 0 3 3 3 5 0 5 -> 4 0 0 2 1 2 5 1 0 0 4 1 0 0 2 0 3 0 2 0 3 1 0 0 1 5 3 5 ,
  4 1 3 4 1 0 5 5 0 1 2 3 5 3 5 5 2 0 2 4 0 3 0 1 0 1 5 1 -> 4 1 4 5 1 3 0 0 2 1 5 5 3 5 3 5 0 4 2 2 1 0 3 0 5 1 0 1 ,
  5 4 2 3 4 4 0 3 5 5 0 0 2 5 5 5 5 4 5 0 5 0 4 5 1 3 2 4 2 4 -> 5 4 2 3 4 4 0 3 5 5 0 0 2 5 5 5 5 4 5 5 0 0 4 5 1 3 2 4 2 4 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 18:

0 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
1 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
2 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
3 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
4 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
5 is interpreted by
 /                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 27-rule system
{ 0 1 2 3 0 3 0 3 0 -> 0 0 3 2 1 3 0 3 0 ,
  4 2 1 4 3 0 5 5 0 4 -> 2 5 3 4 4 0 5 1 0 4 ,
  5 0 4 0 2 3 4 2 0 1 5 2 -> 5 3 4 4 2 2 1 0 0 0 5 2 ,
  3 4 4 2 3 3 1 0 2 4 0 1 5 3 -> 3 4 3 2 0 3 1 4 4 2 1 0 5 3 ,
  5 4 2 4 2 5 5 5 3 4 2 0 0 1 0 0 -> 5 4 2 4 2 5 5 5 4 3 2 0 0 1 0 0 ,
  3 3 2 2 3 0 2 5 4 2 5 4 4 1 5 2 2 -> 3 3 2 3 2 0 5 2 5 4 2 4 4 1 5 2 2 ,
  1 5 5 0 3 1 5 3 1 3 1 2 1 5 3 1 2 -> 1 5 5 0 1 3 5 3 1 3 1 2 1 5 3 1 2 ,
  4 2 0 4 2 3 2 4 1 5 3 0 0 1 2 2 4 -> 4 2 0 4 2 3 2 4 5 1 3 0 0 1 2 2 4 ,
  4 0 4 1 2 5 3 1 5 0 5 4 2 0 4 5 5 -> 4 0 4 1 2 5 3 1 5 0 5 4 0 2 4 5 5 ,
  4 0 2 0 0 2 2 0 2 3 0 5 1 3 5 0 1 2 -> 4 0 2 0 0 2 2 2 0 3 0 5 1 3 5 0 1 2 ,
  0 3 3 5 5 3 4 3 0 4 2 3 1 2 1 1 2 5 -> 0 3 5 3 5 3 4 3 0 4 2 3 1 2 1 1 2 5 ,
  0 5 5 2 3 4 0 5 5 1 5 1 1 3 2 5 1 4 -> 0 5 5 2 3 4 0 5 5 1 5 1 1 3 5 2 1 4 ,
  5 4 3 3 2 5 0 4 2 4 3 3 0 2 5 2 2 0 0 -> 5 3 4 5 3 2 0 3 4 2 4 3 2 0 2 5 2 0 0 ,
  4 1 1 5 0 4 5 3 1 4 4 2 4 1 0 1 5 2 2 -> 4 1 1 5 0 4 5 3 1 4 4 2 4 1 1 0 5 2 2 ,
  5 2 0 0 1 3 2 5 2 5 4 3 4 1 5 1 5 5 3 0 0 4 -> 5 2 0 1 0 3 2 5 2 5 3 4 4 1 5 1 5 5 3 0 0 4 ,
  5 1 5 3 1 2 0 1 5 0 2 3 0 5 1 0 0 2 2 4 1 4 -> 5 1 5 3 1 2 0 1 5 0 2 0 3 5 1 0 0 2 2 4 1 4 ,
  2 4 2 0 5 2 3 0 5 4 5 0 5 4 5 3 2 3 4 2 2 3 4 2 -> 2 4 2 0 5 2 3 5 0 4 5 0 5 4 5 3 2 3 4 2 2 3 4 2 ,
  5 0 0 5 0 1 3 0 0 0 3 2 5 3 0 4 5 4 1 4 5 2 3 2 -> 5 0 0 5 0 1 0 3 0 0 3 2 5 3 0 4 5 4 1 4 5 2 3 2 ,
  4 5 4 2 0 1 3 3 5 4 4 3 0 3 4 5 1 0 5 4 2 3 5 0 -> 4 2 1 5 4 3 3 0 0 5 3 5 4 4 4 0 1 3 5 3 2 0 5 4 ,
  0 1 0 2 0 0 2 0 5 3 1 5 5 3 2 2 4 0 3 2 5 5 1 2 -> 0 1 0 2 0 0 0 2 5 3 1 5 5 3 2 2 4 0 3 2 5 5 1 2 ,
  1 3 3 3 1 4 2 3 4 3 4 2 3 5 2 0 1 4 0 5 4 1 5 2 5 -> 1 3 3 3 1 2 4 3 4 3 4 2 3 5 2 0 1 4 0 5 4 1 5 2 5 ,
  4 5 4 1 5 3 4 2 1 3 4 0 5 4 0 0 0 3 5 2 4 2 5 5 5 -> 4 5 4 1 5 3 2 4 1 3 4 0 5 4 0 0 0 3 5 2 4 2 5 5 5 ,
  0 5 5 2 0 5 5 4 1 3 1 2 2 2 2 2 4 0 2 3 4 0 4 2 2 1 4 -> 0 5 5 2 0 5 4 5 1 3 1 2 2 2 2 2 4 0 2 3 4 0 4 2 2 1 4 ,
  2 1 4 5 2 0 4 3 2 5 0 2 3 2 3 1 4 2 1 2 0 2 1 2 4 4 2 1 -> 2 1 4 5 2 0 4 3 2 5 0 2 3 2 1 3 4 2 1 2 0 2 1 2 4 4 2 1 ,
  4 2 5 0 2 4 0 1 0 1 0 0 0 1 2 2 0 0 1 0 1 0 3 3 3 5 0 5 -> 4 0 0 2 1 2 5 1 0 0 4 1 0 0 2 0 3 0 2 0 3 1 0 0 1 5 3 5 ,
  4 1 3 4 1 0 5 5 0 1 2 3 5 3 5 5 2 0 2 4 0 3 0 1 0 1 5 1 -> 4 1 4 5 1 3 0 0 2 1 5 5 3 5 3 5 0 4 2 2 1 0 3 0 5 1 0 1 ,
  5 4 2 3 4 4 0 3 5 5 0 0 2 5 5 5 5 4 5 0 5 0 4 5 1 3 2 4 2 4 -> 5 4 2 3 4 4 0 3 5 5 0 0 2 5 5 5 5 4 5 5 0 0 4 5 1 3 2 4 2 4 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 19:

0 is interpreted by
 /                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
1 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
2 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
3 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
4 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
5 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 26-rule system
{ 0 1 2 3 0 3 0 3 0 -> 0 0 3 2 1 3 0 3 0 ,
  4 2 1 4 3 0 5 5 0 4 -> 2 5 3 4 4 0 5 1 0 4 ,
  5 0 4 0 2 3 4 2 0 1 5 2 -> 5 3 4 4 2 2 1 0 0 0 5 2 ,
  3 4 4 2 3 3 1 0 2 4 0 1 5 3 -> 3 4 3 2 0 3 1 4 4 2 1 0 5 3 ,
  5 4 2 4 2 5 5 5 3 4 2 0 0 1 0 0 -> 5 4 2 4 2 5 5 5 4 3 2 0 0 1 0 0 ,
  3 3 2 2 3 0 2 5 4 2 5 4 4 1 5 2 2 -> 3 3 2 3 2 0 5 2 5 4 2 4 4 1 5 2 2 ,
  1 5 5 0 3 1 5 3 1 3 1 2 1 5 3 1 2 -> 1 5 5 0 1 3 5 3 1 3 1 2 1 5 3 1 2 ,
  4 2 0 4 2 3 2 4 1 5 3 0 0 1 2 2 4 -> 4 2 0 4 2 3 2 4 5 1 3 0 0 1 2 2 4 ,
  4 0 4 1 2 5 3 1 5 0 5 4 2 0 4 5 5 -> 4 0 4 1 2 5 3 1 5 0 5 4 0 2 4 5 5 ,
  4 0 2 0 0 2 2 0 2 3 0 5 1 3 5 0 1 2 -> 4 0 2 0 0 2 2 2 0 3 0 5 1 3 5 0 1 2 ,
  0 3 3 5 5 3 4 3 0 4 2 3 1 2 1 1 2 5 -> 0 3 5 3 5 3 4 3 0 4 2 3 1 2 1 1 2 5 ,
  5 4 3 3 2 5 0 4 2 4 3 3 0 2 5 2 2 0 0 -> 5 3 4 5 3 2 0 3 4 2 4 3 2 0 2 5 2 0 0 ,
  4 1 1 5 0 4 5 3 1 4 4 2 4 1 0 1 5 2 2 -> 4 1 1 5 0 4 5 3 1 4 4 2 4 1 1 0 5 2 2 ,
  5 2 0 0 1 3 2 5 2 5 4 3 4 1 5 1 5 5 3 0 0 4 -> 5 2 0 1 0 3 2 5 2 5 3 4 4 1 5 1 5 5 3 0 0 4 ,
  5 1 5 3 1 2 0 1 5 0 2 3 0 5 1 0 0 2 2 4 1 4 -> 5 1 5 3 1 2 0 1 5 0 2 0 3 5 1 0 0 2 2 4 1 4 ,
  2 4 2 0 5 2 3 0 5 4 5 0 5 4 5 3 2 3 4 2 2 3 4 2 -> 2 4 2 0 5 2 3 5 0 4 5 0 5 4 5 3 2 3 4 2 2 3 4 2 ,
  5 0 0 5 0 1 3 0 0 0 3 2 5 3 0 4 5 4 1 4 5 2 3 2 -> 5 0 0 5 0 1 0 3 0 0 3 2 5 3 0 4 5 4 1 4 5 2 3 2 ,
  4 5 4 2 0 1 3 3 5 4 4 3 0 3 4 5 1 0 5 4 2 3 5 0 -> 4 2 1 5 4 3 3 0 0 5 3 5 4 4 4 0 1 3 5 3 2 0 5 4 ,
  0 1 0 2 0 0 2 0 5 3 1 5 5 3 2 2 4 0 3 2 5 5 1 2 -> 0 1 0 2 0 0 0 2 5 3 1 5 5 3 2 2 4 0 3 2 5 5 1 2 ,
  1 3 3 3 1 4 2 3 4 3 4 2 3 5 2 0 1 4 0 5 4 1 5 2 5 -> 1 3 3 3 1 2 4 3 4 3 4 2 3 5 2 0 1 4 0 5 4 1 5 2 5 ,
  4 5 4 1 5 3 4 2 1 3 4 0 5 4 0 0 0 3 5 2 4 2 5 5 5 -> 4 5 4 1 5 3 2 4 1 3 4 0 5 4 0 0 0 3 5 2 4 2 5 5 5 ,
  0 5 5 2 0 5 5 4 1 3 1 2 2 2 2 2 4 0 2 3 4 0 4 2 2 1 4 -> 0 5 5 2 0 5 4 5 1 3 1 2 2 2 2 2 4 0 2 3 4 0 4 2 2 1 4 ,
  2 1 4 5 2 0 4 3 2 5 0 2 3 2 3 1 4 2 1 2 0 2 1 2 4 4 2 1 -> 2 1 4 5 2 0 4 3 2 5 0 2 3 2 1 3 4 2 1 2 0 2 1 2 4 4 2 1 ,
  4 2 5 0 2 4 0 1 0 1 0 0 0 1 2 2 0 0 1 0 1 0 3 3 3 5 0 5 -> 4 0 0 2 1 2 5 1 0 0 4 1 0 0 2 0 3 0 2 0 3 1 0 0 1 5 3 5 ,
  4 1 3 4 1 0 5 5 0 1 2 3 5 3 5 5 2 0 2 4 0 3 0 1 0 1 5 1 -> 4 1 4 5 1 3 0 0 2 1 5 5 3 5 3 5 0 4 2 2 1 0 3 0 5 1 0 1 ,
  5 4 2 3 4 4 0 3 5 5 0 0 2 5 5 5 5 4 5 0 5 0 4 5 1 3 2 4 2 4 -> 5 4 2 3 4 4 0 3 5 5 0 0 2 5 5 5 5 4 5 5 0 0 4 5 1 3 2 4 2 4 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 28:

0 is interpreted by
 /                                                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
1 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
2 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
3 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
4 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /
5 is interpreted by
 /                                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                       /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 25-rule system
{ 0 1 2 3 0 3 0 3 0 -> 0 0 3 2 1 3 0 3 0 ,
  4 2 1 4 3 0 5 5 0 4 -> 2 5 3 4 4 0 5 1 0 4 ,
  5 0 4 0 2 3 4 2 0 1 5 2 -> 5 3 4 4 2 2 1 0 0 0 5 2 ,
  3 4 4 2 3 3 1 0 2 4 0 1 5 3 -> 3 4 3 2 0 3 1 4 4 2 1 0 5 3 ,
  5 4 2 4 2 5 5 5 3 4 2 0 0 1 0 0 -> 5 4 2 4 2 5 5 5 4 3 2 0 0 1 0 0 ,
  3 3 2 2 3 0 2 5 4 2 5 4 4 1 5 2 2 -> 3 3 2 3 2 0 5 2 5 4 2 4 4 1 5 2 2 ,
  1 5 5 0 3 1 5 3 1 3 1 2 1 5 3 1 2 -> 1 5 5 0 1 3 5 3 1 3 1 2 1 5 3 1 2 ,
  4 2 0 4 2 3 2 4 1 5 3 0 0 1 2 2 4 -> 4 2 0 4 2 3 2 4 5 1 3 0 0 1 2 2 4 ,
  4 0 4 1 2 5 3 1 5 0 5 4 2 0 4 5 5 -> 4 0 4 1 2 5 3 1 5 0 5 4 0 2 4 5 5 ,
  4 0 2 0 0 2 2 0 2 3 0 5 1 3 5 0 1 2 -> 4 0 2 0 0 2 2 2 0 3 0 5 1 3 5 0 1 2 ,
  0 3 3 5 5 3 4 3 0 4 2 3 1 2 1 1 2 5 -> 0 3 5 3 5 3 4 3 0 4 2 3 1 2 1 1 2 5 ,
  5 4 3 3 2 5 0 4 2 4 3 3 0 2 5 2 2 0 0 -> 5 3 4 5 3 2 0 3 4 2 4 3 2 0 2 5 2 0 0 ,
  4 1 1 5 0 4 5 3 1 4 4 2 4 1 0 1 5 2 2 -> 4 1 1 5 0 4 5 3 1 4 4 2 4 1 1 0 5 2 2 ,
  5 2 0 0 1 3 2 5 2 5 4 3 4 1 5 1 5 5 3 0 0 4 -> 5 2 0 1 0 3 2 5 2 5 3 4 4 1 5 1 5 5 3 0 0 4 ,
  5 1 5 3 1 2 0 1 5 0 2 3 0 5 1 0 0 2 2 4 1 4 -> 5 1 5 3 1 2 0 1 5 0 2 0 3 5 1 0 0 2 2 4 1 4 ,
  2 4 2 0 5 2 3 0 5 4 5 0 5 4 5 3 2 3 4 2 2 3 4 2 -> 2 4 2 0 5 2 3 5 0 4 5 0 5 4 5 3 2 3 4 2 2 3 4 2 ,
  5 0 0 5 0 1 3 0 0 0 3 2 5 3 0 4 5 4 1 4 5 2 3 2 -> 5 0 0 5 0 1 0 3 0 0 3 2 5 3 0 4 5 4 1 4 5 2 3 2 ,
  4 5 4 2 0 1 3 3 5 4 4 3 0 3 4 5 1 0 5 4 2 3 5 0 -> 4 2 1 5 4 3 3 0 0 5 3 5 4 4 4 0 1 3 5 3 2 0 5 4 ,
  0 1 0 2 0 0 2 0 5 3 1 5 5 3 2 2 4 0 3 2 5 5 1 2 -> 0 1 0 2 0 0 0 2 5 3 1 5 5 3 2 2 4 0 3 2 5 5 1 2 ,
  1 3 3 3 1 4 2 3 4 3 4 2 3 5 2 0 1 4 0 5 4 1 5 2 5 -> 1 3 3 3 1 2 4 3 4 3 4 2 3 5 2 0 1 4 0 5 4 1 5 2 5 ,
  4 5 4 1 5 3 4 2 1 3 4 0 5 4 0 0 0 3 5 2 4 2 5 5 5 -> 4 5 4 1 5 3 2 4 1 3 4 0 5 4 0 0 0 3 5 2 4 2 5 5 5 ,
  2 1 4 5 2 0 4 3 2 5 0 2 3 2 3 1 4 2 1 2 0 2 1 2 4 4 2 1 -> 2 1 4 5 2 0 4 3 2 5 0 2 3 2 1 3 4 2 1 2 0 2 1 2 4 4 2 1 ,
  4 2 5 0 2 4 0 1 0 1 0 0 0 1 2 2 0 0 1 0 1 0 3 3 3 5 0 5 -> 4 0 0 2 1 2 5 1 0 0 4 1 0 0 2 0 3 0 2 0 3 1 0 0 1 5 3 5 ,
  4 1 3 4 1 0 5 5 0 1 2 3 5 3 5 5 2 0 2 4 0 3 0 1 0 1 5 1 -> 4 1 4 5 1 3 0 0 2 1 5 5 3 5 3 5 0 4 2 2 1 0 3 0 5 1 0 1 ,
  5 4 2 3 4 4 0 3 5 5 0 0 2 5 5 5 5 4 5 0 5 0 4 5 1 3 2 4 2 4 -> 5 4 2 3 4 4 0 3 5 5 0 0 2 5 5 5 5 4 5 5 0 0 4 5 1 3 2 4 2 4 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 10:

0 is interpreted by
 /                   \
| 1 0 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 |
 \                   /
1 is interpreted by
 /                   \
| 1 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
 \                   /
2 is interpreted by
 /                   \
| 1 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
 \                   /
3 is interpreted by
 /                   \
| 1 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 |
 \                   /
4 is interpreted by
 /                   \
| 1 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
 \                   /
5 is interpreted by
 /                   \
| 1 0 1 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 |
 \                   /

After renaming modulo { 4->0, 2->1, 1->2, 3->3, 0->4, 5->5 }, 
it remains to prove termination of the 24-rule system
{ 0 1 2 0 3 4 5 5 4 0 -> 1 5 3 0 0 4 5 2 4 0 ,
  5 4 0 4 1 3 0 1 4 2 5 1 -> 5 3 0 0 1 1 2 4 4 4 5 1 ,
  3 0 0 1 3 3 2 4 1 0 4 2 5 3 -> 3 0 3 1 4 3 2 0 0 1 2 4 5 3 ,
  5 0 1 0 1 5 5 5 3 0 1 4 4 2 4 4 -> 5 0 1 0 1 5 5 5 0 3 1 4 4 2 4 4 ,
  3 3 1 1 3 4 1 5 0 1 5 0 0 2 5 1 1 -> 3 3 1 3 1 4 5 1 5 0 1 0 0 2 5 1 1 ,
  2 5 5 4 3 2 5 3 2 3 2 1 2 5 3 2 1 -> 2 5 5 4 2 3 5 3 2 3 2 1 2 5 3 2 1 ,
  0 1 4 0 1 3 1 0 2 5 3 4 4 2 1 1 0 -> 0 1 4 0 1 3 1 0 5 2 3 4 4 2 1 1 0 ,
  0 4 0 2 1 5 3 2 5 4 5 0 1 4 0 5 5 -> 0 4 0 2 1 5 3 2 5 4 5 0 4 1 0 5 5 ,
  0 4 1 4 4 1 1 4 1 3 4 5 2 3 5 4 2 1 -> 0 4 1 4 4 1 1 1 4 3 4 5 2 3 5 4 2 1 ,
  4 3 3 5 5 3 0 3 4 0 1 3 2 1 2 2 1 5 -> 4 3 5 3 5 3 0 3 4 0 1 3 2 1 2 2 1 5 ,
  5 0 3 3 1 5 4 0 1 0 3 3 4 1 5 1 1 4 4 -> 5 3 0 5 3 1 4 3 0 1 0 3 1 4 1 5 1 4 4 ,
  0 2 2 5 4 0 5 3 2 0 0 1 0 2 4 2 5 1 1 -> 0 2 2 5 4 0 5 3 2 0 0 1 0 2 2 4 5 1 1 ,
  5 1 4 4 2 3 1 5 1 5 0 3 0 2 5 2 5 5 3 4 4 0 -> 5 1 4 2 4 3 1 5 1 5 3 0 0 2 5 2 5 5 3 4 4 0 ,
  5 2 5 3 2 1 4 2 5 4 1 3 4 5 2 4 4 1 1 0 2 0 -> 5 2 5 3 2 1 4 2 5 4 1 4 3 5 2 4 4 1 1 0 2 0 ,
  1 0 1 4 5 1 3 4 5 0 5 4 5 0 5 3 1 3 0 1 1 3 0 1 -> 1 0 1 4 5 1 3 5 4 0 5 4 5 0 5 3 1 3 0 1 1 3 0 1 ,
  5 4 4 5 4 2 3 4 4 4 3 1 5 3 4 0 5 0 2 0 5 1 3 1 -> 5 4 4 5 4 2 4 3 4 4 3 1 5 3 4 0 5 0 2 0 5 1 3 1 ,
  0 5 0 1 4 2 3 3 5 0 0 3 4 3 0 5 2 4 5 0 1 3 5 4 -> 0 1 2 5 0 3 3 4 4 5 3 5 0 0 0 4 2 3 5 3 1 4 5 0 ,
  4 2 4 1 4 4 1 4 5 3 2 5 5 3 1 1 0 4 3 1 5 5 2 1 -> 4 2 4 1 4 4 4 1 5 3 2 5 5 3 1 1 0 4 3 1 5 5 2 1 ,
  2 3 3 3 2 0 1 3 0 3 0 1 3 5 1 4 2 0 4 5 0 2 5 1 5 -> 2 3 3 3 2 1 0 3 0 3 0 1 3 5 1 4 2 0 4 5 0 2 5 1 5 ,
  0 5 0 2 5 3 0 1 2 3 0 4 5 0 4 4 4 3 5 1 0 1 5 5 5 -> 0 5 0 2 5 3 1 0 2 3 0 4 5 0 4 4 4 3 5 1 0 1 5 5 5 ,
  1 2 0 5 1 4 0 3 1 5 4 1 3 1 3 2 0 1 2 1 4 1 2 1 0 0 1 2 -> 1 2 0 5 1 4 0 3 1 5 4 1 3 1 2 3 0 1 2 1 4 1 2 1 0 0 1 2 ,
  0 1 5 4 1 0 4 2 4 2 4 4 4 2 1 1 4 4 2 4 2 4 3 3 3 5 4 5 -> 0 4 4 1 2 1 5 2 4 4 0 2 4 4 1 4 3 4 1 4 3 2 4 4 2 5 3 5 ,
  0 2 3 0 2 4 5 5 4 2 1 3 5 3 5 5 1 4 1 0 4 3 4 2 4 2 5 2 -> 0 2 0 5 2 3 4 4 1 2 5 5 3 5 3 5 4 0 1 1 2 4 3 4 5 2 4 2 ,
  5 0 1 3 0 0 4 3 5 5 4 4 1 5 5 5 5 0 5 4 5 4 0 5 2 3 1 0 1 0 -> 5 0 1 3 0 0 4 3 5 5 4 4 1 5 5 5 5 0 5 5 4 4 0 5 2 3 1 0 1 0 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 11:

0 is interpreted by
 /                     \
| 1 0 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 |
 \                     /
1 is interpreted by
 /                     \
| 1 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
 \                     /
2 is interpreted by
 /                     \
| 1 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
 \                     /
3 is interpreted by
 /                     \
| 1 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
 \                     /
4 is interpreted by
 /                     \
| 1 0 1 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 |
 \                     /
5 is interpreted by
 /                     \
| 1 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 |
 \                     /

After renaming modulo { 5->0, 4->1, 0->2, 1->3, 3->4, 2->5 }, 
it remains to prove termination of the 23-rule system
{ 0 1 2 1 3 4 2 3 1 5 0 3 -> 0 4 2 2 3 3 5 1 1 1 0 3 ,
  4 2 2 3 4 4 5 1 3 2 1 5 0 4 -> 4 2 4 3 1 4 5 2 2 3 5 1 0 4 ,
  0 2 3 2 3 0 0 0 4 2 3 1 1 5 1 1 -> 0 2 3 2 3 0 0 0 2 4 3 1 1 5 1 1 ,
  4 4 3 3 4 1 3 0 2 3 0 2 2 5 0 3 3 -> 4 4 3 4 3 1 0 3 0 2 3 2 2 5 0 3 3 ,
  5 0 0 1 4 5 0 4 5 4 5 3 5 0 4 5 3 -> 5 0 0 1 5 4 0 4 5 4 5 3 5 0 4 5 3 ,
  2 3 1 2 3 4 3 2 5 0 4 1 1 5 3 3 2 -> 2 3 1 2 3 4 3 2 0 5 4 1 1 5 3 3 2 ,
  2 1 2 5 3 0 4 5 0 1 0 2 3 1 2 0 0 -> 2 1 2 5 3 0 4 5 0 1 0 2 1 3 2 0 0 ,
  2 1 3 1 1 3 3 1 3 4 1 0 5 4 0 1 5 3 -> 2 1 3 1 1 3 3 3 1 4 1 0 5 4 0 1 5 3 ,
  1 4 4 0 0 4 2 4 1 2 3 4 5 3 5 5 3 0 -> 1 4 0 4 0 4 2 4 1 2 3 4 5 3 5 5 3 0 ,
  0 2 4 4 3 0 1 2 3 2 4 4 1 3 0 3 3 1 1 -> 0 4 2 0 4 3 1 4 2 3 2 4 3 1 3 0 3 1 1 ,
  2 5 5 0 1 2 0 4 5 2 2 3 2 5 1 5 0 3 3 -> 2 5 5 0 1 2 0 4 5 2 2 3 2 5 5 1 0 3 3 ,
  0 3 1 1 5 4 3 0 3 0 2 4 2 5 0 5 0 0 4 1 1 2 -> 0 3 1 5 1 4 3 0 3 0 4 2 2 5 0 5 0 0 4 1 1 2 ,
  0 5 0 4 5 3 1 5 0 1 3 4 1 0 5 1 1 3 3 2 5 2 -> 0 5 0 4 5 3 1 5 0 1 3 1 4 0 5 1 1 3 3 2 5 2 ,
  3 2 3 1 0 3 4 1 0 2 0 1 0 2 0 4 3 4 2 3 3 4 2 3 -> 3 2 3 1 0 3 4 0 1 2 0 1 0 2 0 4 3 4 2 3 3 4 2 3 ,
  0 1 1 0 1 5 4 1 1 1 4 3 0 4 1 2 0 2 5 2 0 3 4 3 -> 0 1 1 0 1 5 1 4 1 1 4 3 0 4 1 2 0 2 5 2 0 3 4 3 ,
  2 0 2 3 1 5 4 4 0 2 2 4 1 4 2 0 5 1 0 2 3 4 0 1 -> 2 3 5 0 2 4 4 1 1 0 4 0 2 2 2 1 5 4 0 4 3 1 0 2 ,
  1 5 1 3 1 1 3 1 0 4 5 0 0 4 3 3 2 1 4 3 0 0 5 3 -> 1 5 1 3 1 1 1 3 0 4 5 0 0 4 3 3 2 1 4 3 0 0 5 3 ,
  5 4 4 4 5 2 3 4 2 4 2 3 4 0 3 1 5 2 1 0 2 5 0 3 0 -> 5 4 4 4 5 3 2 4 2 4 2 3 4 0 3 1 5 2 1 0 2 5 0 3 0 ,
  2 0 2 5 0 4 2 3 5 4 2 1 0 2 1 1 1 4 0 3 2 3 0 0 0 -> 2 0 2 5 0 4 3 2 5 4 2 1 0 2 1 1 1 4 0 3 2 3 0 0 0 ,
  3 5 2 0 3 1 2 4 3 0 1 3 4 3 4 5 2 3 5 3 1 3 5 3 2 2 3 5 -> 3 5 2 0 3 1 2 4 3 0 1 3 4 3 5 4 2 3 5 3 1 3 5 3 2 2 3 5 ,
  2 3 0 1 3 2 1 5 1 5 1 1 1 5 3 3 1 1 5 1 5 1 4 4 4 0 1 0 -> 2 1 1 3 5 3 0 5 1 1 2 5 1 1 3 1 4 1 3 1 4 5 1 1 5 0 4 0 ,
  2 5 4 2 5 1 0 0 1 5 3 4 0 4 0 0 3 1 3 2 1 4 1 5 1 5 0 5 -> 2 5 2 0 5 4 1 1 3 5 0 0 4 0 4 0 1 2 3 3 5 1 4 1 0 5 1 5 ,
  0 2 3 4 2 2 1 4 0 0 1 1 3 0 0 0 0 2 0 1 0 1 2 0 5 4 3 2 3 2 -> 0 2 3 4 2 2 1 4 0 0 1 1 3 0 0 0 0 2 0 0 1 1 2 0 5 4 3 2 3 2 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 13:

0 is interpreted by
 /                         \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                         /
1 is interpreted by
 /                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                         /
2 is interpreted by
 /                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                         /
3 is interpreted by
 /                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
 \                         /
4 is interpreted by
 /                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                         /
5 is interpreted by
 /                         \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                         /

After renaming modulo { 4->0, 2->1, 3->2, 5->3, 1->4, 0->5 }, 
it remains to prove termination of the 22-rule system
{ 0 1 1 2 0 0 3 4 2 1 4 3 5 0 -> 0 1 0 2 4 0 3 1 1 2 3 4 5 0 ,
  5 1 2 1 2 5 5 5 0 1 2 4 4 3 4 4 -> 5 1 2 1 2 5 5 5 1 0 2 4 4 3 4 4 ,
  0 0 2 2 0 4 2 5 1 2 5 1 1 3 5 2 2 -> 0 0 2 0 2 4 5 2 5 1 2 1 1 3 5 2 2 ,
  3 5 5 4 0 3 5 0 3 0 3 2 3 5 0 3 2 -> 3 5 5 4 3 0 5 0 3 0 3 2 3 5 0 3 2 ,
  1 2 4 1 2 0 2 1 3 5 0 4 4 3 2 2 1 -> 1 2 4 1 2 0 2 1 5 3 0 4 4 3 2 2 1 ,
  1 4 1 3 2 5 0 3 5 4 5 1 2 4 1 5 5 -> 1 4 1 3 2 5 0 3 5 4 5 1 4 2 1 5 5 ,
  1 4 2 4 4 2 2 4 2 0 4 5 3 0 5 4 3 2 -> 1 4 2 4 4 2 2 2 4 0 4 5 3 0 5 4 3 2 ,
  4 0 0 5 5 0 1 0 4 1 2 0 3 2 3 3 2 5 -> 4 0 5 0 5 0 1 0 4 1 2 0 3 2 3 3 2 5 ,
  5 1 0 0 2 5 4 1 2 1 0 0 4 2 5 2 2 4 4 -> 5 0 1 5 0 2 4 0 1 2 1 0 2 4 2 5 2 4 4 ,
  1 3 3 5 4 1 5 0 3 1 1 2 1 3 4 3 5 2 2 -> 1 3 3 5 4 1 5 0 3 1 1 2 1 3 3 4 5 2 2 ,
  5 2 4 4 3 0 2 5 2 5 1 0 1 3 5 3 5 5 0 4 4 1 -> 5 2 4 3 4 0 2 5 2 5 0 1 1 3 5 3 5 5 0 4 4 1 ,
  5 3 5 0 3 2 4 3 5 4 2 0 4 5 3 4 4 2 2 1 3 1 -> 5 3 5 0 3 2 4 3 5 4 2 4 0 5 3 4 4 2 2 1 3 1 ,
  2 1 2 4 5 2 0 4 5 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 -> 2 1 2 4 5 2 0 5 4 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 ,
  5 4 4 5 4 3 0 4 4 4 0 2 5 0 4 1 5 1 3 1 5 2 0 2 -> 5 4 4 5 4 3 4 0 4 4 0 2 5 0 4 1 5 1 3 1 5 2 0 2 ,
  1 5 1 2 4 3 0 0 5 1 1 0 4 0 1 5 3 4 5 1 2 0 5 4 -> 1 2 3 5 1 0 0 4 4 5 0 5 1 1 1 4 3 0 5 0 2 4 5 1 ,
  4 3 4 2 4 4 2 4 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 -> 4 3 4 2 4 4 4 2 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 ,
  3 0 0 0 3 1 2 0 1 0 1 2 0 5 2 4 3 1 4 5 1 3 5 2 5 -> 3 0 0 0 3 2 1 0 1 0 1 2 0 5 2 4 3 1 4 5 1 3 5 2 5 ,
  1 5 1 3 5 0 1 2 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 -> 1 5 1 3 5 0 2 1 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 ,
  2 3 1 5 2 4 1 0 2 5 4 2 0 2 0 3 1 2 3 2 4 2 3 2 1 1 2 3 -> 2 3 1 5 2 4 1 0 2 5 4 2 0 2 3 0 1 2 3 2 4 2 3 2 1 1 2 3 ,
  1 2 5 4 2 1 4 3 4 3 4 4 4 3 2 2 4 4 3 4 3 4 0 0 0 5 4 5 -> 1 4 4 2 3 2 5 3 4 4 1 3 4 4 2 4 0 4 2 4 0 3 4 4 3 5 0 5 ,
  1 3 0 1 3 4 5 5 4 3 2 0 5 0 5 5 2 4 2 1 4 0 4 3 4 3 5 3 -> 1 3 1 5 3 0 4 4 2 3 5 5 0 5 0 5 4 1 2 2 3 4 0 4 5 3 4 3 ,
  5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 4 5 4 1 5 3 0 2 1 2 1 -> 5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 5 4 4 1 5 3 0 2 1 2 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 18:

0 is interpreted by
 /                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
1 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
2 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
3 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
4 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
5 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 21-rule system
{ 0 1 1 2 0 0 3 4 2 1 4 3 5 0 -> 0 1 0 2 4 0 3 1 1 2 3 4 5 0 ,
  5 1 2 1 2 5 5 5 0 1 2 4 4 3 4 4 -> 5 1 2 1 2 5 5 5 1 0 2 4 4 3 4 4 ,
  3 5 5 4 0 3 5 0 3 0 3 2 3 5 0 3 2 -> 3 5 5 4 3 0 5 0 3 0 3 2 3 5 0 3 2 ,
  1 2 4 1 2 0 2 1 3 5 0 4 4 3 2 2 1 -> 1 2 4 1 2 0 2 1 5 3 0 4 4 3 2 2 1 ,
  1 4 1 3 2 5 0 3 5 4 5 1 2 4 1 5 5 -> 1 4 1 3 2 5 0 3 5 4 5 1 4 2 1 5 5 ,
  1 4 2 4 4 2 2 4 2 0 4 5 3 0 5 4 3 2 -> 1 4 2 4 4 2 2 2 4 0 4 5 3 0 5 4 3 2 ,
  4 0 0 5 5 0 1 0 4 1 2 0 3 2 3 3 2 5 -> 4 0 5 0 5 0 1 0 4 1 2 0 3 2 3 3 2 5 ,
  5 1 0 0 2 5 4 1 2 1 0 0 4 2 5 2 2 4 4 -> 5 0 1 5 0 2 4 0 1 2 1 0 2 4 2 5 2 4 4 ,
  1 3 3 5 4 1 5 0 3 1 1 2 1 3 4 3 5 2 2 -> 1 3 3 5 4 1 5 0 3 1 1 2 1 3 3 4 5 2 2 ,
  5 2 4 4 3 0 2 5 2 5 1 0 1 3 5 3 5 5 0 4 4 1 -> 5 2 4 3 4 0 2 5 2 5 0 1 1 3 5 3 5 5 0 4 4 1 ,
  5 3 5 0 3 2 4 3 5 4 2 0 4 5 3 4 4 2 2 1 3 1 -> 5 3 5 0 3 2 4 3 5 4 2 4 0 5 3 4 4 2 2 1 3 1 ,
  2 1 2 4 5 2 0 4 5 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 -> 2 1 2 4 5 2 0 5 4 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 ,
  5 4 4 5 4 3 0 4 4 4 0 2 5 0 4 1 5 1 3 1 5 2 0 2 -> 5 4 4 5 4 3 4 0 4 4 0 2 5 0 4 1 5 1 3 1 5 2 0 2 ,
  1 5 1 2 4 3 0 0 5 1 1 0 4 0 1 5 3 4 5 1 2 0 5 4 -> 1 2 3 5 1 0 0 4 4 5 0 5 1 1 1 4 3 0 5 0 2 4 5 1 ,
  4 3 4 2 4 4 2 4 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 -> 4 3 4 2 4 4 4 2 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 ,
  3 0 0 0 3 1 2 0 1 0 1 2 0 5 2 4 3 1 4 5 1 3 5 2 5 -> 3 0 0 0 3 2 1 0 1 0 1 2 0 5 2 4 3 1 4 5 1 3 5 2 5 ,
  1 5 1 3 5 0 1 2 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 -> 1 5 1 3 5 0 2 1 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 ,
  2 3 1 5 2 4 1 0 2 5 4 2 0 2 0 3 1 2 3 2 4 2 3 2 1 1 2 3 -> 2 3 1 5 2 4 1 0 2 5 4 2 0 2 3 0 1 2 3 2 4 2 3 2 1 1 2 3 ,
  1 2 5 4 2 1 4 3 4 3 4 4 4 3 2 2 4 4 3 4 3 4 0 0 0 5 4 5 -> 1 4 4 2 3 2 5 3 4 4 1 3 4 4 2 4 0 4 2 4 0 3 4 4 3 5 0 5 ,
  1 3 0 1 3 4 5 5 4 3 2 0 5 0 5 5 2 4 2 1 4 0 4 3 4 3 5 3 -> 1 3 1 5 3 0 4 4 2 3 5 5 0 5 0 5 4 1 2 2 3 4 0 4 5 3 4 3 ,
  5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 4 5 4 1 5 3 0 2 1 2 1 -> 5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 5 4 4 1 5 3 0 2 1 2 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 18:

0 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
1 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
2 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
3 is interpreted by
 /                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
4 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
5 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 20-rule system
{ 0 1 1 2 0 0 3 4 2 1 4 3 5 0 -> 0 1 0 2 4 0 3 1 1 2 3 4 5 0 ,
  5 1 2 1 2 5 5 5 0 1 2 4 4 3 4 4 -> 5 1 2 1 2 5 5 5 1 0 2 4 4 3 4 4 ,
  1 2 4 1 2 0 2 1 3 5 0 4 4 3 2 2 1 -> 1 2 4 1 2 0 2 1 5 3 0 4 4 3 2 2 1 ,
  1 4 1 3 2 5 0 3 5 4 5 1 2 4 1 5 5 -> 1 4 1 3 2 5 0 3 5 4 5 1 4 2 1 5 5 ,
  1 4 2 4 4 2 2 4 2 0 4 5 3 0 5 4 3 2 -> 1 4 2 4 4 2 2 2 4 0 4 5 3 0 5 4 3 2 ,
  4 0 0 5 5 0 1 0 4 1 2 0 3 2 3 3 2 5 -> 4 0 5 0 5 0 1 0 4 1 2 0 3 2 3 3 2 5 ,
  5 1 0 0 2 5 4 1 2 1 0 0 4 2 5 2 2 4 4 -> 5 0 1 5 0 2 4 0 1 2 1 0 2 4 2 5 2 4 4 ,
  1 3 3 5 4 1 5 0 3 1 1 2 1 3 4 3 5 2 2 -> 1 3 3 5 4 1 5 0 3 1 1 2 1 3 3 4 5 2 2 ,
  5 2 4 4 3 0 2 5 2 5 1 0 1 3 5 3 5 5 0 4 4 1 -> 5 2 4 3 4 0 2 5 2 5 0 1 1 3 5 3 5 5 0 4 4 1 ,
  5 3 5 0 3 2 4 3 5 4 2 0 4 5 3 4 4 2 2 1 3 1 -> 5 3 5 0 3 2 4 3 5 4 2 4 0 5 3 4 4 2 2 1 3 1 ,
  2 1 2 4 5 2 0 4 5 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 -> 2 1 2 4 5 2 0 5 4 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 ,
  5 4 4 5 4 3 0 4 4 4 0 2 5 0 4 1 5 1 3 1 5 2 0 2 -> 5 4 4 5 4 3 4 0 4 4 0 2 5 0 4 1 5 1 3 1 5 2 0 2 ,
  1 5 1 2 4 3 0 0 5 1 1 0 4 0 1 5 3 4 5 1 2 0 5 4 -> 1 2 3 5 1 0 0 4 4 5 0 5 1 1 1 4 3 0 5 0 2 4 5 1 ,
  4 3 4 2 4 4 2 4 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 -> 4 3 4 2 4 4 4 2 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 ,
  3 0 0 0 3 1 2 0 1 0 1 2 0 5 2 4 3 1 4 5 1 3 5 2 5 -> 3 0 0 0 3 2 1 0 1 0 1 2 0 5 2 4 3 1 4 5 1 3 5 2 5 ,
  1 5 1 3 5 0 1 2 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 -> 1 5 1 3 5 0 2 1 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 ,
  2 3 1 5 2 4 1 0 2 5 4 2 0 2 0 3 1 2 3 2 4 2 3 2 1 1 2 3 -> 2 3 1 5 2 4 1 0 2 5 4 2 0 2 3 0 1 2 3 2 4 2 3 2 1 1 2 3 ,
  1 2 5 4 2 1 4 3 4 3 4 4 4 3 2 2 4 4 3 4 3 4 0 0 0 5 4 5 -> 1 4 4 2 3 2 5 3 4 4 1 3 4 4 2 4 0 4 2 4 0 3 4 4 3 5 0 5 ,
  1 3 0 1 3 4 5 5 4 3 2 0 5 0 5 5 2 4 2 1 4 0 4 3 4 3 5 3 -> 1 3 1 5 3 0 4 4 2 3 5 5 0 5 0 5 4 1 2 2 3 4 0 4 5 3 4 3 ,
  5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 4 5 4 1 5 3 0 2 1 2 1 -> 5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 5 4 4 1 5 3 0 2 1 2 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 19:

0 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
1 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
2 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
3 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
4 is interpreted by
 /                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
5 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 19-rule system
{ 0 1 1 2 0 0 3 4 2 1 4 3 5 0 -> 0 1 0 2 4 0 3 1 1 2 3 4 5 0 ,
  5 1 2 1 2 5 5 5 0 1 2 4 4 3 4 4 -> 5 1 2 1 2 5 5 5 1 0 2 4 4 3 4 4 ,
  1 2 4 1 2 0 2 1 3 5 0 4 4 3 2 2 1 -> 1 2 4 1 2 0 2 1 5 3 0 4 4 3 2 2 1 ,
  1 4 1 3 2 5 0 3 5 4 5 1 2 4 1 5 5 -> 1 4 1 3 2 5 0 3 5 4 5 1 4 2 1 5 5 ,
  1 4 2 4 4 2 2 4 2 0 4 5 3 0 5 4 3 2 -> 1 4 2 4 4 2 2 2 4 0 4 5 3 0 5 4 3 2 ,
  5 1 0 0 2 5 4 1 2 1 0 0 4 2 5 2 2 4 4 -> 5 0 1 5 0 2 4 0 1 2 1 0 2 4 2 5 2 4 4 ,
  1 3 3 5 4 1 5 0 3 1 1 2 1 3 4 3 5 2 2 -> 1 3 3 5 4 1 5 0 3 1 1 2 1 3 3 4 5 2 2 ,
  5 2 4 4 3 0 2 5 2 5 1 0 1 3 5 3 5 5 0 4 4 1 -> 5 2 4 3 4 0 2 5 2 5 0 1 1 3 5 3 5 5 0 4 4 1 ,
  5 3 5 0 3 2 4 3 5 4 2 0 4 5 3 4 4 2 2 1 3 1 -> 5 3 5 0 3 2 4 3 5 4 2 4 0 5 3 4 4 2 2 1 3 1 ,
  2 1 2 4 5 2 0 4 5 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 -> 2 1 2 4 5 2 0 5 4 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 ,
  5 4 4 5 4 3 0 4 4 4 0 2 5 0 4 1 5 1 3 1 5 2 0 2 -> 5 4 4 5 4 3 4 0 4 4 0 2 5 0 4 1 5 1 3 1 5 2 0 2 ,
  1 5 1 2 4 3 0 0 5 1 1 0 4 0 1 5 3 4 5 1 2 0 5 4 -> 1 2 3 5 1 0 0 4 4 5 0 5 1 1 1 4 3 0 5 0 2 4 5 1 ,
  4 3 4 2 4 4 2 4 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 -> 4 3 4 2 4 4 4 2 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 ,
  3 0 0 0 3 1 2 0 1 0 1 2 0 5 2 4 3 1 4 5 1 3 5 2 5 -> 3 0 0 0 3 2 1 0 1 0 1 2 0 5 2 4 3 1 4 5 1 3 5 2 5 ,
  1 5 1 3 5 0 1 2 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 -> 1 5 1 3 5 0 2 1 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 ,
  2 3 1 5 2 4 1 0 2 5 4 2 0 2 0 3 1 2 3 2 4 2 3 2 1 1 2 3 -> 2 3 1 5 2 4 1 0 2 5 4 2 0 2 3 0 1 2 3 2 4 2 3 2 1 1 2 3 ,
  1 2 5 4 2 1 4 3 4 3 4 4 4 3 2 2 4 4 3 4 3 4 0 0 0 5 4 5 -> 1 4 4 2 3 2 5 3 4 4 1 3 4 4 2 4 0 4 2 4 0 3 4 4 3 5 0 5 ,
  1 3 0 1 3 4 5 5 4 3 2 0 5 0 5 5 2 4 2 1 4 0 4 3 4 3 5 3 -> 1 3 1 5 3 0 4 4 2 3 5 5 0 5 0 5 4 1 2 2 3 4 0 4 5 3 4 3 ,
  5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 4 5 4 1 5 3 0 2 1 2 1 -> 5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 5 4 4 1 5 3 0 2 1 2 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 25:

0 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
1 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
2 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
3 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
4 is interpreted by
 /                                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /
5 is interpreted by
 /                                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                 /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 18-rule system
{ 0 1 1 2 0 0 3 4 2 1 4 3 5 0 -> 0 1 0 2 4 0 3 1 1 2 3 4 5 0 ,
  5 1 2 1 2 5 5 5 0 1 2 4 4 3 4 4 -> 5 1 2 1 2 5 5 5 1 0 2 4 4 3 4 4 ,
  1 2 4 1 2 0 2 1 3 5 0 4 4 3 2 2 1 -> 1 2 4 1 2 0 2 1 5 3 0 4 4 3 2 2 1 ,
  1 4 1 3 2 5 0 3 5 4 5 1 2 4 1 5 5 -> 1 4 1 3 2 5 0 3 5 4 5 1 4 2 1 5 5 ,
  1 4 2 4 4 2 2 4 2 0 4 5 3 0 5 4 3 2 -> 1 4 2 4 4 2 2 2 4 0 4 5 3 0 5 4 3 2 ,
  5 1 0 0 2 5 4 1 2 1 0 0 4 2 5 2 2 4 4 -> 5 0 1 5 0 2 4 0 1 2 1 0 2 4 2 5 2 4 4 ,
  1 3 3 5 4 1 5 0 3 1 1 2 1 3 4 3 5 2 2 -> 1 3 3 5 4 1 5 0 3 1 1 2 1 3 3 4 5 2 2 ,
  5 2 4 4 3 0 2 5 2 5 1 0 1 3 5 3 5 5 0 4 4 1 -> 5 2 4 3 4 0 2 5 2 5 0 1 1 3 5 3 5 5 0 4 4 1 ,
  5 3 5 0 3 2 4 3 5 4 2 0 4 5 3 4 4 2 2 1 3 1 -> 5 3 5 0 3 2 4 3 5 4 2 4 0 5 3 4 4 2 2 1 3 1 ,
  2 1 2 4 5 2 0 4 5 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 -> 2 1 2 4 5 2 0 5 4 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 ,
  1 5 1 2 4 3 0 0 5 1 1 0 4 0 1 5 3 4 5 1 2 0 5 4 -> 1 2 3 5 1 0 0 4 4 5 0 5 1 1 1 4 3 0 5 0 2 4 5 1 ,
  4 3 4 2 4 4 2 4 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 -> 4 3 4 2 4 4 4 2 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 ,
  3 0 0 0 3 1 2 0 1 0 1 2 0 5 2 4 3 1 4 5 1 3 5 2 5 -> 3 0 0 0 3 2 1 0 1 0 1 2 0 5 2 4 3 1 4 5 1 3 5 2 5 ,
  1 5 1 3 5 0 1 2 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 -> 1 5 1 3 5 0 2 1 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 ,
  2 3 1 5 2 4 1 0 2 5 4 2 0 2 0 3 1 2 3 2 4 2 3 2 1 1 2 3 -> 2 3 1 5 2 4 1 0 2 5 4 2 0 2 3 0 1 2 3 2 4 2 3 2 1 1 2 3 ,
  1 2 5 4 2 1 4 3 4 3 4 4 4 3 2 2 4 4 3 4 3 4 0 0 0 5 4 5 -> 1 4 4 2 3 2 5 3 4 4 1 3 4 4 2 4 0 4 2 4 0 3 4 4 3 5 0 5 ,
  1 3 0 1 3 4 5 5 4 3 2 0 5 0 5 5 2 4 2 1 4 0 4 3 4 3 5 3 -> 1 3 1 5 3 0 4 4 2 3 5 5 0 5 0 5 4 1 2 2 3 4 0 4 5 3 4 3 ,
  5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 4 5 4 1 5 3 0 2 1 2 1 -> 5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 5 4 4 1 5 3 0 2 1 2 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 26:

0 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
1 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
2 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
3 is interpreted by
 /                                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
4 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /
5 is interpreted by
 /                                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                                   /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 17-rule system
{ 0 1 1 2 0 0 3 4 2 1 4 3 5 0 -> 0 1 0 2 4 0 3 1 1 2 3 4 5 0 ,
  5 1 2 1 2 5 5 5 0 1 2 4 4 3 4 4 -> 5 1 2 1 2 5 5 5 1 0 2 4 4 3 4 4 ,
  1 2 4 1 2 0 2 1 3 5 0 4 4 3 2 2 1 -> 1 2 4 1 2 0 2 1 5 3 0 4 4 3 2 2 1 ,
  1 4 1 3 2 5 0 3 5 4 5 1 2 4 1 5 5 -> 1 4 1 3 2 5 0 3 5 4 5 1 4 2 1 5 5 ,
  1 4 2 4 4 2 2 4 2 0 4 5 3 0 5 4 3 2 -> 1 4 2 4 4 2 2 2 4 0 4 5 3 0 5 4 3 2 ,
  5 1 0 0 2 5 4 1 2 1 0 0 4 2 5 2 2 4 4 -> 5 0 1 5 0 2 4 0 1 2 1 0 2 4 2 5 2 4 4 ,
  1 3 3 5 4 1 5 0 3 1 1 2 1 3 4 3 5 2 2 -> 1 3 3 5 4 1 5 0 3 1 1 2 1 3 3 4 5 2 2 ,
  5 2 4 4 3 0 2 5 2 5 1 0 1 3 5 3 5 5 0 4 4 1 -> 5 2 4 3 4 0 2 5 2 5 0 1 1 3 5 3 5 5 0 4 4 1 ,
  5 3 5 0 3 2 4 3 5 4 2 0 4 5 3 4 4 2 2 1 3 1 -> 5 3 5 0 3 2 4 3 5 4 2 4 0 5 3 4 4 2 2 1 3 1 ,
  2 1 2 4 5 2 0 4 5 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 -> 2 1 2 4 5 2 0 5 4 1 5 4 5 1 5 0 2 0 1 2 2 0 1 2 ,
  1 5 1 2 4 3 0 0 5 1 1 0 4 0 1 5 3 4 5 1 2 0 5 4 -> 1 2 3 5 1 0 0 4 4 5 0 5 1 1 1 4 3 0 5 0 2 4 5 1 ,
  4 3 4 2 4 4 2 4 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 -> 4 3 4 2 4 4 4 2 5 0 3 5 5 0 2 2 1 4 0 2 5 5 3 2 ,
  1 5 1 3 5 0 1 2 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 -> 1 5 1 3 5 0 2 1 3 0 1 4 5 1 4 4 4 0 5 2 1 2 5 5 5 ,
  2 3 1 5 2 4 1 0 2 5 4 2 0 2 0 3 1 2 3 2 4 2 3 2 1 1 2 3 -> 2 3 1 5 2 4 1 0 2 5 4 2 0 2 3 0 1 2 3 2 4 2 3 2 1 1 2 3 ,
  1 2 5 4 2 1 4 3 4 3 4 4 4 3 2 2 4 4 3 4 3 4 0 0 0 5 4 5 -> 1 4 4 2 3 2 5 3 4 4 1 3 4 4 2 4 0 4 2 4 0 3 4 4 3 5 0 5 ,
  1 3 0 1 3 4 5 5 4 3 2 0 5 0 5 5 2 4 2 1 4 0 4 3 4 3 5 3 -> 1 3 1 5 3 0 4 4 2 3 5 5 0 5 0 5 4 1 2 2 3 4 0 4 5 3 4 3 ,
  5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 4 5 4 1 5 3 0 2 1 2 1 -> 5 1 2 0 1 1 4 0 5 5 4 4 2 5 5 5 5 1 5 5 4 4 1 5 3 0 2 1 2 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 15:

0 is interpreted by
 /                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
1 is interpreted by
 /                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
2 is interpreted by
 /                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
3 is interpreted by
 /                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
4 is interpreted by
 /                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /
5 is interpreted by
 /                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                             /

After renaming modulo { 5->0, 1->1, 2->2, 0->3, 4->4, 3->5 }, 
it remains to prove termination of the 16-rule system
{ 0 1 2 1 2 0 0 0 3 1 2 4 4 5 4 4 -> 0 1 2 1 2 0 0 0 1 3 2 4 4 5 4 4 ,
  1 2 4 1 2 3 2 1 5 0 3 4 4 5 2 2 1 -> 1 2 4 1 2 3 2 1 0 5 3 4 4 5 2 2 1 ,
  1 4 1 5 2 0 3 5 0 4 0 1 2 4 1 0 0 -> 1 4 1 5 2 0 3 5 0 4 0 1 4 2 1 0 0 ,
  1 4 2 4 4 2 2 4 2 3 4 0 5 3 0 4 5 2 -> 1 4 2 4 4 2 2 2 4 3 4 0 5 3 0 4 5 2 ,
  0 1 3 3 2 0 4 1 2 1 3 3 4 2 0 2 2 4 4 -> 0 3 1 0 3 2 4 3 1 2 1 3 2 4 2 0 2 4 4 ,
  1 5 5 0 4 1 0 3 5 1 1 2 1 5 4 5 0 2 2 -> 1 5 5 0 4 1 0 3 5 1 1 2 1 5 5 4 0 2 2 ,
  0 2 4 4 5 3 2 0 2 0 1 3 1 5 0 5 0 0 3 4 4 1 -> 0 2 4 5 4 3 2 0 2 0 3 1 1 5 0 5 0 0 3 4 4 1 ,
  0 5 0 3 5 2 4 5 0 4 2 3 4 0 5 4 4 2 2 1 5 1 -> 0 5 0 3 5 2 4 5 0 4 2 4 3 0 5 4 4 2 2 1 5 1 ,
  2 1 2 4 0 2 3 4 0 1 0 4 0 1 0 3 2 3 1 2 2 3 1 2 -> 2 1 2 4 0 2 3 0 4 1 0 4 0 1 0 3 2 3 1 2 2 3 1 2 ,
  1 0 1 2 4 5 3 3 0 1 1 3 4 3 1 0 5 4 0 1 2 3 0 4 -> 1 2 5 0 1 3 3 4 4 0 3 0 1 1 1 4 5 3 0 3 2 4 0 1 ,
  4 5 4 2 4 4 2 4 0 3 5 0 0 3 2 2 1 4 3 2 0 0 5 2 -> 4 5 4 2 4 4 4 2 0 3 5 0 0 3 2 2 1 4 3 2 0 0 5 2 ,
  1 0 1 5 0 3 1 2 5 3 1 4 0 1 4 4 4 3 0 2 1 2 0 0 0 -> 1 0 1 5 0 3 2 1 5 3 1 4 0 1 4 4 4 3 0 2 1 2 0 0 0 ,
  2 5 1 0 2 4 1 3 2 0 4 2 3 2 3 5 1 2 5 2 4 2 5 2 1 1 2 5 -> 2 5 1 0 2 4 1 3 2 0 4 2 3 2 5 3 1 2 5 2 4 2 5 2 1 1 2 5 ,
  1 2 0 4 2 1 4 5 4 5 4 4 4 5 2 2 4 4 5 4 5 4 3 3 3 0 4 0 -> 1 4 4 2 5 2 0 5 4 4 1 5 4 4 2 4 3 4 2 4 3 5 4 4 5 0 3 0 ,
  1 5 3 1 5 4 0 0 4 5 2 3 0 3 0 0 2 4 2 1 4 3 4 5 4 5 0 5 -> 1 5 1 0 5 3 4 4 2 5 0 0 3 0 3 0 4 1 2 2 5 4 3 4 0 5 4 5 ,
  0 1 2 3 1 1 4 3 0 0 4 4 2 0 0 0 0 1 0 4 0 4 1 0 5 3 2 1 2 1 -> 0 1 2 3 1 1 4 3 0 0 4 4 2 0 0 0 0 1 0 0 4 4 1 0 5 3 2 1 2 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 17:

0 is interpreted by
 /                                 \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                 /
1 is interpreted by
 /                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                 /
2 is interpreted by
 /                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                 /
3 is interpreted by
 /                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                 /
4 is interpreted by
 /                                 \
| 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                 /
5 is interpreted by
 /                                 \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                 /

After renaming modulo { 1->0, 2->1, 4->2, 3->3, 5->4, 0->5 }, 
it remains to prove termination of the 15-rule system
{ 0 1 2 0 1 3 1 0 4 5 3 2 2 4 1 1 0 -> 0 1 2 0 1 3 1 0 5 4 3 2 2 4 1 1 0 ,
  0 2 0 4 1 5 3 4 5 2 5 0 1 2 0 5 5 -> 0 2 0 4 1 5 3 4 5 2 5 0 2 1 0 5 5 ,
  0 2 1 2 2 1 1 2 1 3 2 5 4 3 5 2 4 1 -> 0 2 1 2 2 1 1 1 2 3 2 5 4 3 5 2 4 1 ,
  5 0 3 3 1 5 2 0 1 0 3 3 2 1 5 1 1 2 2 -> 5 3 0 5 3 1 2 3 0 1 0 3 1 2 1 5 1 2 2 ,
  0 4 4 5 2 0 5 3 4 0 0 1 0 4 2 4 5 1 1 -> 0 4 4 5 2 0 5 3 4 0 0 1 0 4 4 2 5 1 1 ,
  5 1 2 2 4 3 1 5 1 5 0 3 0 4 5 4 5 5 3 2 2 0 -> 5 1 2 4 2 3 1 5 1 5 3 0 0 4 5 4 5 5 3 2 2 0 ,
  5 4 5 3 4 1 2 4 5 2 1 3 2 5 4 2 2 1 1 0 4 0 -> 5 4 5 3 4 1 2 4 5 2 1 2 3 5 4 2 2 1 1 0 4 0 ,
  1 0 1 2 5 1 3 2 5 0 5 2 5 0 5 3 1 3 0 1 1 3 0 1 -> 1 0 1 2 5 1 3 5 2 0 5 2 5 0 5 3 1 3 0 1 1 3 0 1 ,
  0 5 0 1 2 4 3 3 5 0 0 3 2 3 0 5 4 2 5 0 1 3 5 2 -> 0 1 4 5 0 3 3 2 2 5 3 5 0 0 0 2 4 3 5 3 1 2 5 0 ,
  2 4 2 1 2 2 1 2 5 3 4 5 5 3 1 1 0 2 3 1 5 5 4 1 -> 2 4 2 1 2 2 2 1 5 3 4 5 5 3 1 1 0 2 3 1 5 5 4 1 ,
  0 5 0 4 5 3 0 1 4 3 0 2 5 0 2 2 2 3 5 1 0 1 5 5 5 -> 0 5 0 4 5 3 1 0 4 3 0 2 5 0 2 2 2 3 5 1 0 1 5 5 5 ,
  1 4 0 5 1 2 0 3 1 5 2 1 3 1 3 4 0 1 4 1 2 1 4 1 0 0 1 4 -> 1 4 0 5 1 2 0 3 1 5 2 1 3 1 4 3 0 1 4 1 2 1 4 1 0 0 1 4 ,
  0 1 5 2 1 0 2 4 2 4 2 2 2 4 1 1 2 2 4 2 4 2 3 3 3 5 2 5 -> 0 2 2 1 4 1 5 4 2 2 0 4 2 2 1 2 3 2 1 2 3 4 2 2 4 5 3 5 ,
  0 4 3 0 4 2 5 5 2 4 1 3 5 3 5 5 1 2 1 0 2 3 2 4 2 4 5 4 -> 0 4 0 5 4 3 2 2 1 4 5 5 3 5 3 5 2 0 1 1 4 2 3 2 5 4 2 4 ,
  5 0 1 3 0 0 2 3 5 5 2 2 1 5 5 5 5 0 5 2 5 2 0 5 4 3 1 0 1 0 -> 5 0 1 3 0 0 2 3 5 5 2 2 1 5 5 5 5 0 5 5 2 2 0 5 4 3 1 0 1 0 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 18:

0 is interpreted by
 /                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
1 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
2 is interpreted by
 /                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
3 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
4 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
5 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /

After renaming modulo { 0->0, 2->1, 4->2, 1->3, 5->4, 3->5 }, 
it remains to prove termination of the 14-rule system
{ 0 1 0 2 3 4 5 2 4 1 4 0 3 1 0 4 4 -> 0 1 0 2 3 4 5 2 4 1 4 0 1 3 0 4 4 ,
  0 1 3 1 1 3 3 1 3 5 1 4 2 5 4 1 2 3 -> 0 1 3 1 1 3 3 3 1 5 1 4 2 5 4 1 2 3 ,
  4 0 5 5 3 4 1 0 3 0 5 5 1 3 4 3 3 1 1 -> 4 5 0 4 5 3 1 5 0 3 0 5 3 1 3 4 3 1 1 ,
  0 2 2 4 1 0 4 5 2 0 0 3 0 2 1 2 4 3 3 -> 0 2 2 4 1 0 4 5 2 0 0 3 0 2 2 1 4 3 3 ,
  4 3 1 1 2 5 3 4 3 4 0 5 0 2 4 2 4 4 5 1 1 0 -> 4 3 1 2 1 5 3 4 3 4 5 0 0 2 4 2 4 4 5 1 1 0 ,
  4 2 4 5 2 3 1 2 4 1 3 5 1 4 2 1 1 3 3 0 2 0 -> 4 2 4 5 2 3 1 2 4 1 3 1 5 4 2 1 1 3 3 0 2 0 ,
  3 0 3 1 4 3 5 1 4 0 4 1 4 0 4 5 3 5 0 3 3 5 0 3 -> 3 0 3 1 4 3 5 4 1 0 4 1 4 0 4 5 3 5 0 3 3 5 0 3 ,
  0 4 0 3 1 2 5 5 4 0 0 5 1 5 0 4 2 1 4 0 3 5 4 1 -> 0 3 2 4 0 5 5 1 1 4 5 4 0 0 0 1 2 5 4 5 3 1 4 0 ,
  1 2 1 3 1 1 3 1 4 5 2 4 4 5 3 3 0 1 5 3 4 4 2 3 -> 1 2 1 3 1 1 1 3 4 5 2 4 4 5 3 3 0 1 5 3 4 4 2 3 ,
  0 4 0 2 4 5 0 3 2 5 0 1 4 0 1 1 1 5 4 3 0 3 4 4 4 -> 0 4 0 2 4 5 3 0 2 5 0 1 4 0 1 1 1 5 4 3 0 3 4 4 4 ,
  3 2 0 4 3 1 0 5 3 4 1 3 5 3 5 2 0 3 2 3 1 3 2 3 0 0 3 2 -> 3 2 0 4 3 1 0 5 3 4 1 3 5 3 2 5 0 3 2 3 1 3 2 3 0 0 3 2 ,
  0 3 4 1 3 0 1 2 1 2 1 1 1 2 3 3 1 1 2 1 2 1 5 5 5 4 1 4 -> 0 1 1 3 2 3 4 2 1 1 0 2 1 1 3 1 5 1 3 1 5 2 1 1 2 4 5 4 ,
  0 2 5 0 2 1 4 4 1 2 3 5 4 5 4 4 3 1 3 0 1 5 1 2 1 2 4 2 -> 0 2 0 4 2 5 1 1 3 2 4 4 5 4 5 4 1 0 3 3 2 1 5 1 4 2 1 2 ,
  4 0 3 5 0 0 1 5 4 4 1 1 3 4 4 4 4 0 4 1 4 1 0 4 2 5 3 0 3 0 -> 4 0 3 5 0 0 1 5 4 4 1 1 3 4 4 4 4 0 4 4 1 1 0 4 2 5 3 0 3 0 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 18:

0 is interpreted by
 /                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
1 is interpreted by
 /                                   \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
2 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
3 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
4 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /
5 is interpreted by
 /                                   \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                   /

After renaming modulo { 0->0, 1->1, 3->2, 5->3, 4->4, 2->5 }, 
it remains to prove termination of the 13-rule system
{ 0 1 2 1 1 2 2 1 2 3 1 4 5 3 4 1 5 2 -> 0 1 2 1 1 2 2 2 1 3 1 4 5 3 4 1 5 2 ,
  4 0 3 3 2 4 1 0 2 0 3 3 1 2 4 2 2 1 1 -> 4 3 0 4 3 2 1 3 0 2 0 3 2 1 2 4 2 1 1 ,
  0 5 5 4 1 0 4 3 5 0 0 2 0 5 1 5 4 2 2 -> 0 5 5 4 1 0 4 3 5 0 0 2 0 5 5 1 4 2 2 ,
  4 2 1 1 5 3 2 4 2 4 0 3 0 5 4 5 4 4 3 1 1 0 -> 4 2 1 5 1 3 2 4 2 4 3 0 0 5 4 5 4 4 3 1 1 0 ,
  4 5 4 3 5 2 1 5 4 1 2 3 1 4 5 1 1 2 2 0 5 0 -> 4 5 4 3 5 2 1 5 4 1 2 1 3 4 5 1 1 2 2 0 5 0 ,
  2 0 2 1 4 2 3 1 4 0 4 1 4 0 4 3 2 3 0 2 2 3 0 2 -> 2 0 2 1 4 2 3 4 1 0 4 1 4 0 4 3 2 3 0 2 2 3 0 2 ,
  0 4 0 2 1 5 3 3 4 0 0 3 1 3 0 4 5 1 4 0 2 3 4 1 -> 0 2 5 4 0 3 3 1 1 4 3 4 0 0 0 1 5 3 4 3 2 1 4 0 ,
  1 5 1 2 1 1 2 1 4 3 5 4 4 3 2 2 0 1 3 2 4 4 5 2 -> 1 5 1 2 1 1 1 2 4 3 5 4 4 3 2 2 0 1 3 2 4 4 5 2 ,
  0 4 0 5 4 3 0 2 5 3 0 1 4 0 1 1 1 3 4 2 0 2 4 4 4 -> 0 4 0 5 4 3 2 0 5 3 0 1 4 0 1 1 1 3 4 2 0 2 4 4 4 ,
  2 5 0 4 2 1 0 3 2 4 1 2 3 2 3 5 0 2 5 2 1 2 5 2 0 0 2 5 -> 2 5 0 4 2 1 0 3 2 4 1 2 3 2 5 3 0 2 5 2 1 2 5 2 0 0 2 5 ,
  0 2 4 1 2 0 1 5 1 5 1 1 1 5 2 2 1 1 5 1 5 1 3 3 3 4 1 4 -> 0 1 1 2 5 2 4 5 1 1 0 5 1 1 2 1 3 1 2 1 3 5 1 1 5 4 3 4 ,
  0 5 3 0 5 1 4 4 1 5 2 3 4 3 4 4 2 1 2 0 1 3 1 5 1 5 4 5 -> 0 5 0 4 5 3 1 1 2 5 4 4 3 4 3 4 1 0 2 2 5 1 3 1 4 5 1 5 ,
  4 0 2 3 0 0 1 3 4 4 1 1 2 4 4 4 4 0 4 1 4 1 0 4 5 3 2 0 2 0 -> 4 0 2 3 0 0 1 3 4 4 1 1 2 4 4 4 4 0 4 4 1 1 0 4 5 3 2 0 2 0 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 19:

0 is interpreted by
 /                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
1 is interpreted by
 /                                     \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
2 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
3 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
4 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /
5 is interpreted by
 /                                     \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                     /

After renaming modulo { 4->0, 0->1, 3->2, 2->3, 1->4, 5->5 }, 
it remains to prove termination of the 12-rule system
{ 0 1 2 2 3 0 4 1 3 1 2 2 4 3 0 3 3 4 4 -> 0 2 1 0 2 3 4 2 1 3 1 2 3 4 3 0 3 4 4 ,
  1 5 5 0 4 1 0 2 5 1 1 3 1 5 4 5 0 3 3 -> 1 5 5 0 4 1 0 2 5 1 1 3 1 5 5 4 0 3 3 ,
  0 3 4 4 5 2 3 0 3 0 1 2 1 5 0 5 0 0 2 4 4 1 -> 0 3 4 5 4 2 3 0 3 0 2 1 1 5 0 5 0 0 2 4 4 1 ,
  0 5 0 2 5 3 4 5 0 4 3 2 4 0 5 4 4 3 3 1 5 1 -> 0 5 0 2 5 3 4 5 0 4 3 4 2 0 5 4 4 3 3 1 5 1 ,
  3 1 3 4 0 3 2 4 0 1 0 4 0 1 0 2 3 2 1 3 3 2 1 3 -> 3 1 3 4 0 3 2 0 4 1 0 4 0 1 0 2 3 2 1 3 3 2 1 3 ,
  1 0 1 3 4 5 2 2 0 1 1 2 4 2 1 0 5 4 0 1 3 2 0 4 -> 1 3 5 0 1 2 2 4 4 0 2 0 1 1 1 4 5 2 0 2 3 4 0 1 ,
  4 5 4 3 4 4 3 4 0 2 5 0 0 2 3 3 1 4 2 3 0 0 5 3 -> 4 5 4 3 4 4 4 3 0 2 5 0 0 2 3 3 1 4 2 3 0 0 5 3 ,
  1 0 1 5 0 2 1 3 5 2 1 4 0 1 4 4 4 2 0 3 1 3 0 0 0 -> 1 0 1 5 0 2 3 1 5 2 1 4 0 1 4 4 4 2 0 3 1 3 0 0 0 ,
  3 5 1 0 3 4 1 2 3 0 4 3 2 3 2 5 1 3 5 3 4 3 5 3 1 1 3 5 -> 3 5 1 0 3 4 1 2 3 0 4 3 2 3 5 2 1 3 5 3 4 3 5 3 1 1 3 5 ,
  1 3 0 4 3 1 4 5 4 5 4 4 4 5 3 3 4 4 5 4 5 4 2 2 2 0 4 0 -> 1 4 4 3 5 3 0 5 4 4 1 5 4 4 3 4 2 4 3 4 2 5 4 4 5 0 2 0 ,
  1 5 2 1 5 4 0 0 4 5 3 2 0 2 0 0 3 4 3 1 4 2 4 5 4 5 0 5 -> 1 5 1 0 5 2 4 4 3 5 0 0 2 0 2 0 4 1 3 3 5 4 2 4 0 5 4 5 ,
  0 1 3 2 1 1 4 2 0 0 4 4 3 0 0 0 0 1 0 4 0 4 1 0 5 2 3 1 3 1 -> 0 1 3 2 1 1 4 2 0 0 4 4 3 0 0 0 0 1 0 0 4 4 1 0 5 2 3 1 3 1 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 20:

0 is interpreted by
 /                                       \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /
1 is interpreted by
 /                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /
2 is interpreted by
 /                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /
3 is interpreted by
 /                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /
4 is interpreted by
 /                                       \
| 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /
5 is interpreted by
 /                                       \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                       /

After renaming modulo { 1->0, 5->1, 0->2, 4->3, 2->4, 3->5 }, 
it remains to prove termination of the 11-rule system
{ 0 1 1 2 3 0 2 4 1 0 0 5 0 1 3 1 2 5 5 -> 0 1 1 2 3 0 2 4 1 0 0 5 0 1 1 3 2 5 5 ,
  2 5 3 3 1 4 5 2 5 2 0 4 0 1 2 1 2 2 4 3 3 0 -> 2 5 3 1 3 4 5 2 5 2 4 0 0 1 2 1 2 2 4 3 3 0 ,
  2 1 2 4 1 5 3 1 2 3 5 4 3 2 1 3 3 5 5 0 1 0 -> 2 1 2 4 1 5 3 1 2 3 5 3 4 2 1 3 3 5 5 0 1 0 ,
  5 0 5 3 2 5 4 3 2 0 2 3 2 0 2 4 5 4 0 5 5 4 0 5 -> 5 0 5 3 2 5 4 2 3 0 2 3 2 0 2 4 5 4 0 5 5 4 0 5 ,
  0 2 0 5 3 1 4 4 2 0 0 4 3 4 0 2 1 3 2 0 5 4 2 3 -> 0 5 1 2 0 4 4 3 3 2 4 2 0 0 0 3 1 4 2 4 5 3 2 0 ,
  3 1 3 5 3 3 5 3 2 4 1 2 2 4 5 5 0 3 4 5 2 2 1 5 -> 3 1 3 5 3 3 3 5 2 4 1 2 2 4 5 5 0 3 4 5 2 2 1 5 ,
  0 2 0 1 2 4 0 5 1 4 0 3 2 0 3 3 3 4 2 5 0 5 2 2 2 -> 0 2 0 1 2 4 5 0 1 4 0 3 2 0 3 3 3 4 2 5 0 5 2 2 2 ,
  5 1 0 2 5 3 0 4 5 2 3 5 4 5 4 1 0 5 1 5 3 5 1 5 0 0 5 1 -> 5 1 0 2 5 3 0 4 5 2 3 5 4 5 1 4 0 5 1 5 3 5 1 5 0 0 5 1 ,
  0 5 2 3 5 0 3 1 3 1 3 3 3 1 5 5 3 3 1 3 1 3 4 4 4 2 3 2 -> 0 3 3 5 1 5 2 1 3 3 0 1 3 3 5 3 4 3 5 3 4 1 3 3 1 2 4 2 ,
  0 1 4 0 1 3 2 2 3 1 5 4 2 4 2 2 5 3 5 0 3 4 3 1 3 1 2 1 -> 0 1 0 2 1 4 3 3 5 1 2 2 4 2 4 2 3 0 5 5 1 3 4 3 2 1 3 1 ,
  2 0 5 4 0 0 3 4 2 2 3 3 5 2 2 2 2 0 2 3 2 3 0 2 1 4 5 0 5 0 -> 2 0 5 4 0 0 3 4 2 2 3 3 5 2 2 2 2 0 2 2 3 3 0 2 1 4 5 0 5 0 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 23:

0 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
1 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
2 is interpreted by
 /                                             \
| 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
3 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
4 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /
5 is interpreted by
 /                                             \
| 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
| 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 |
 \                                             /

After renaming modulo { 0->0, 1->1, 2->2, 3->3, 4->4, 5->5 }, 
it remains to prove termination of the 10-rule system
{ 0 1 1 2 3 0 2 4 1 0 0 5 0 1 3 1 2 5 5 -> 0 1 1 2 3 0 2 4 1 0 0 5 0 1 1 3 2 5 5 ,
  2 1 2 4 1 5 3 1 2 3 5 4 3 2 1 3 3 5 5 0 1 0 -> 2 1 2 4 1 5 3 1 2 3 5 3 4 2 1 3 3 5 5 0 1 0 ,
  5 0 5 3 2 5 4 3 2 0 2 3 2 0 2 4 5 4 0 5 5 4 0 5 -> 5 0 5 3 2 5 4 2 3 0 2 3 2 0 2 4 5 4 0 5 5 4 0 5 ,
  0 2 0 5 3 1 4 4 2 0 0 4 3 4 0 2 1 3 2 0 5 4 2 3 -> 0 5 1 2 0 4 4 3 3 2 4 2 0 0 0 3 1 4 2 4 5 3 2 0 ,
  3 1 3 5 3 3 5 3 2 4 1 2 2 4 5 5 0 3 4 5 2 2 1 5 -> 3 1 3 5 3 3 3 5 2 4 1 2 2 4 5 5 0 3 4 5 2 2 1 5 ,
  0 2 0 1 2 4 0 5 1 4 0 3 2 0 3 3 3 4 2 5 0 5 2 2 2 -> 0 2 0 1 2 4 5 0 1 4 0 3 2 0 3 3 3 4 2 5 0 5 2 2 2 ,
  5 1 0 2 5 3 0 4 5 2 3 5 4 5 4 1 0 5 1 5 3 5 1 5 0 0 5 1 -> 5 1 0 2 5 3 0 4 5 2 3 5 4 5 1 4 0 5 1 5 3 5 1 5 0 0 5 1 ,
  0 5 2 3 5 0 3 1 3 1 3 3 3 1 5 5 3 3 1 3 1 3 4 4 4 2 3 2 -> 0 3 3 5 1 5 2 1 3 3 0 1 3 3 5 3 4 3 5 3 4 1 3 3 1 2 4 2 ,
  0 1 4 0 1 3 2 2 3 1 5 4 2 4 2 2 5 3 5 0 3 4 3 1 3 1 2 1 -> 0 1 0 2 1 4 3 3 5 1 2 2 4 2 4 2 3 0 5 5 1 3 4 3 2 1 3 1 ,
  2 0 5 4 0 0 3 4 2 2 3 3 5 2 2 2 2 0 2 3 2 3 0 2 1 4 5 0 5 0 -> 2 0 5 4 0 0 3 4 2 2 3 3 5 2 2 2 2 0 2 2 3 3 0 2 1 4 5 0 5 0 }


Applying sparse 2-tiling [Hofbauer/Geser/Waldmann, FSCD 2019].

After renaming modulo { (0,0)->0, (0,1)->1, (1,1)->2, (1,2)->3, (2,3)->4, (3,0)->5, (0,2)->6, (2,4)->7, (4,1)->8, (1,0)->9, (0,5)->10, (5,0)->11, (1,3)->12, (3,1)->13, (2,5)->14, (5,5)->15, (3,2)->16, (5,1)->17, (5,2)->18, (5,3)->19, (5,4)->20, (5,7)->21, (2,0)->22, (4,0)->23, (6,0)->24, (2,1)->25, (1,5)->26, (3,5)->27, (4,3)->28, (3,3)->29, (3,4)->30, (4,2)->31, (0,3)->32, (0,4)->33, (0,7)->34, (2,2)->35, (6,2)->36, (4,5)->37, (6,5)->38, (1,4)->39, (4,4)->40, (6,3)->41, (2,7)->42, (1,7)->43 },
it remains to prove termination of the 483-rule system
{ 0 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 11 -> 0 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 11 ,
  0 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 17 -> 0 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 17 ,
  0 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 18 -> 0 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 18 ,
  0 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 19 -> 0 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 19 ,
  0 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 20 -> 0 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 20 ,
  0 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 15 -> 0 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 15 ,
  0 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 21 -> 0 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 21 ,
  9 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 11 -> 9 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 11 ,
  9 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 17 -> 9 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 17 ,
  9 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 18 -> 9 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 18 ,
  9 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 19 -> 9 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 19 ,
  9 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 20 -> 9 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 20 ,
  9 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 15 -> 9 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 15 ,
  9 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 21 -> 9 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 21 ,
  22 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 11 -> 22 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 11 ,
  22 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 17 -> 22 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 17 ,
  22 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 18 -> 22 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 18 ,
  22 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 19 -> 22 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 19 ,
  22 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 20 -> 22 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 20 ,
  22 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 15 -> 22 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 15 ,
  22 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 21 -> 22 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 21 ,
  5 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 11 -> 5 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 11 ,
  5 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 17 -> 5 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 17 ,
  5 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 18 -> 5 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 18 ,
  5 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 19 -> 5 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 19 ,
  5 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 20 -> 5 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 20 ,
  5 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 15 -> 5 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 15 ,
  5 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 21 -> 5 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 21 ,
  23 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 11 -> 23 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 11 ,
  23 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 17 -> 23 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 17 ,
  23 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 18 -> 23 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 18 ,
  23 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 19 -> 23 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 19 ,
  23 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 20 -> 23 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 20 ,
  23 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 15 -> 23 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 15 ,
  23 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 21 -> 23 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 21 ,
  11 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 11 -> 11 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 11 ,
  11 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 17 -> 11 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 17 ,
  11 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 18 -> 11 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 18 ,
  11 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 19 -> 11 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 19 ,
  11 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 20 -> 11 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 20 ,
  11 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 15 -> 11 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 15 ,
  11 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 21 -> 11 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 21 ,
  24 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 11 -> 24 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 11 ,
  24 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 17 -> 24 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 17 ,
  24 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 18 -> 24 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 18 ,
  24 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 19 -> 24 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 19 ,
  24 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 20 -> 24 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 20 ,
  24 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 15 -> 24 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 15 ,
  24 1 2 3 4 5 6 7 8 9 0 10 11 1 12 13 3 14 15 21 -> 24 1 2 3 4 5 6 7 8 9 0 10 11 1 2 12 16 14 15 21 ,
  6 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 0 -> 6 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 0 ,
  6 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 1 -> 6 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 1 ,
  6 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 6 -> 6 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 6 ,
  6 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 32 -> 6 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 32 ,
  6 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 33 -> 6 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 33 ,
  6 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 10 -> 6 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 10 ,
  6 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 34 -> 6 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 34 ,
  3 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 0 -> 3 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 0 ,
  3 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 1 -> 3 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 1 ,
  3 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 6 -> 3 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 6 ,
  3 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 32 -> 3 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 32 ,
  3 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 33 -> 3 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 33 ,
  3 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 10 -> 3 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 10 ,
  3 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 34 -> 3 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 34 ,
  35 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 0 -> 35 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 0 ,
  35 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 1 -> 35 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 1 ,
  35 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 6 -> 35 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 6 ,
  35 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 32 -> 35 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 32 ,
  35 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 33 -> 35 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 33 ,
  35 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 10 -> 35 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 10 ,
  35 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 34 -> 35 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 34 ,
  16 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 0 -> 16 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 0 ,
  16 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 1 -> 16 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 1 ,
  16 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 6 -> 16 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 6 ,
  16 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 32 -> 16 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 32 ,
  16 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 33 -> 16 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 33 ,
  16 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 10 -> 16 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 10 ,
  16 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 34 -> 16 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 34 ,
  31 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 0 -> 31 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 0 ,
  31 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 1 -> 31 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 1 ,
  31 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 6 -> 31 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 6 ,
  31 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 32 -> 31 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 32 ,
  31 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 33 -> 31 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 33 ,
  31 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 10 -> 31 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 10 ,
  31 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 34 -> 31 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 34 ,
  18 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 0 -> 18 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 0 ,
  18 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 1 -> 18 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 1 ,
  18 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 6 -> 18 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 6 ,
  18 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 32 -> 18 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 32 ,
  18 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 33 -> 18 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 33 ,
  18 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 10 -> 18 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 10 ,
  18 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 34 -> 18 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 34 ,
  36 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 0 -> 36 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 0 ,
  36 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 1 -> 36 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 1 ,
  36 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 6 -> 36 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 6 ,
  36 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 32 -> 36 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 32 ,
  36 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 33 -> 36 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 33 ,
  36 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 10 -> 36 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 10 ,
  36 25 3 7 8 26 19 13 3 4 27 20 28 16 25 12 29 27 15 11 1 9 34 -> 36 25 3 7 8 26 19 13 3 4 27 19 30 31 25 12 29 27 15 11 1 9 34 ,
  10 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 -> 10 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 ,
  10 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 -> 10 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 ,
  10 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 -> 10 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 ,
  10 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 -> 10 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 ,
  10 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 -> 10 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 ,
  10 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 -> 10 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 ,
  10 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 -> 10 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 ,
  26 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 -> 26 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 ,
  26 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 -> 26 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 ,
  26 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 -> 26 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 ,
  26 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 -> 26 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 ,
  26 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 -> 26 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 ,
  26 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 -> 26 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 ,
  26 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 -> 26 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 ,
  14 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 -> 14 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 ,
  14 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 -> 14 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 ,
  14 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 -> 14 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 ,
  14 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 -> 14 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 ,
  14 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 -> 14 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 ,
  14 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 -> 14 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 ,
  14 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 -> 14 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 ,
  27 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 -> 27 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 ,
  27 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 -> 27 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 ,
  27 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 -> 27 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 ,
  27 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 -> 27 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 ,
  27 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 -> 27 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 ,
  27 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 -> 27 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 ,
  27 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 -> 27 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 ,
  37 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 -> 37 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 ,
  37 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 -> 37 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 ,
  37 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 -> 37 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 ,
  37 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 -> 37 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 ,
  37 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 -> 37 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 ,
  37 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 -> 37 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 ,
  37 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 -> 37 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 ,
  15 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 -> 15 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 ,
  15 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 -> 15 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 ,
  15 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 -> 15 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 ,
  15 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 -> 15 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 ,
  15 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 -> 15 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 ,
  15 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 -> 15 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 ,
  15 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 -> 15 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 ,
  38 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 -> 38 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 11 ,
  38 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 -> 38 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 17 ,
  38 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 -> 38 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 18 ,
  38 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 -> 38 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 19 ,
  38 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 -> 38 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 20 ,
  38 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 -> 38 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 15 ,
  38 11 10 19 16 14 20 28 16 22 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 -> 38 11 10 19 16 14 20 31 4 5 6 4 16 22 6 7 37 20 23 10 15 20 23 10 21 ,
  0 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 5 -> 0 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 0 ,
  0 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 13 -> 0 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 1 ,
  0 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 16 -> 0 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 6 ,
  0 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 29 -> 0 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 32 ,
  0 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 30 -> 0 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 33 ,
  0 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 27 -> 0 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 10 ,
  9 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 5 -> 9 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 0 ,
  9 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 13 -> 9 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 1 ,
  9 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 16 -> 9 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 6 ,
  9 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 29 -> 9 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 32 ,
  9 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 30 -> 9 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 33 ,
  9 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 27 -> 9 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 10 ,
  22 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 5 -> 22 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 0 ,
  22 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 13 -> 22 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 1 ,
  22 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 16 -> 22 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 6 ,
  22 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 29 -> 22 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 32 ,
  22 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 30 -> 22 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 33 ,
  22 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 27 -> 22 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 10 ,
  5 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 5 -> 5 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 0 ,
  5 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 13 -> 5 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 1 ,
  5 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 16 -> 5 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 6 ,
  5 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 29 -> 5 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 32 ,
  5 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 30 -> 5 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 33 ,
  5 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 27 -> 5 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 10 ,
  23 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 5 -> 23 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 0 ,
  23 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 13 -> 23 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 1 ,
  23 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 16 -> 23 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 6 ,
  23 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 29 -> 23 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 32 ,
  23 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 30 -> 23 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 33 ,
  23 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 27 -> 23 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 10 ,
  11 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 5 -> 11 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 0 ,
  11 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 13 -> 11 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 1 ,
  11 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 16 -> 11 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 6 ,
  11 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 29 -> 11 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 32 ,
  11 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 30 -> 11 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 33 ,
  11 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 27 -> 11 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 10 ,
  24 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 5 -> 24 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 0 ,
  24 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 13 -> 24 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 1 ,
  24 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 16 -> 24 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 6 ,
  24 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 29 -> 24 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 32 ,
  24 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 30 -> 24 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 33 ,
  24 6 22 10 19 13 39 40 31 22 0 33 28 30 23 6 25 12 16 22 10 20 31 4 27 -> 24 10 17 3 22 33 40 28 29 16 7 31 22 0 0 32 13 39 31 7 37 19 16 22 10 ,
  32 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 -> 32 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 ,
  32 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 -> 32 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 ,
  32 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 -> 32 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 ,
  32 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 -> 32 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 ,
  32 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 -> 32 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 ,
  32 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 -> 32 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 ,
  32 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 -> 32 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 ,
  12 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 -> 12 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 ,
  12 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 -> 12 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 ,
  12 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 -> 12 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 ,
  12 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 -> 12 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 ,
  12 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 -> 12 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 ,
  12 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 -> 12 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 ,
  12 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 -> 12 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 ,
  4 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 -> 4 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 ,
  4 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 -> 4 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 ,
  4 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 -> 4 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 ,
  4 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 -> 4 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 ,
  4 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 -> 4 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 ,
  4 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 -> 4 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 ,
  4 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 -> 4 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 ,
  29 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 -> 29 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 ,
  29 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 -> 29 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 ,
  29 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 -> 29 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 ,
  29 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 -> 29 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 ,
  29 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 -> 29 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 ,
  29 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 -> 29 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 ,
  29 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 -> 29 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 ,
  28 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 -> 28 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 ,
  28 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 -> 28 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 ,
  28 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 -> 28 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 ,
  28 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 -> 28 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 ,
  28 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 -> 28 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 ,
  28 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 -> 28 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 ,
  28 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 -> 28 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 ,
  19 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 -> 19 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 ,
  19 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 -> 19 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 ,
  19 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 -> 19 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 ,
  19 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 -> 19 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 ,
  19 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 -> 19 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 ,
  19 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 -> 19 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 ,
  19 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 -> 19 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 ,
  41 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 -> 41 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 11 ,
  41 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 -> 41 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 17 ,
  41 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 -> 41 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 18 ,
  41 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 -> 41 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 19 ,
  41 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 -> 41 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 20 ,
  41 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 -> 41 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 15 ,
  41 13 12 27 19 29 27 19 16 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 -> 41 13 12 27 19 29 29 27 18 7 8 3 35 7 37 15 11 32 30 37 18 35 25 26 21 ,
  0 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 -> 0 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 ,
  0 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 -> 0 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 ,
  0 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 -> 0 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 ,
  0 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 -> 0 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 ,
  0 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 -> 0 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 ,
  0 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 -> 0 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 ,
  0 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 -> 0 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 ,
  9 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 -> 9 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 ,
  9 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 -> 9 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 ,
  9 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 -> 9 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 ,
  9 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 -> 9 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 ,
  9 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 -> 9 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 ,
  9 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 -> 9 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 ,
  9 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 -> 9 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 ,
  22 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 -> 22 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 ,
  22 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 -> 22 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 ,
  22 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 -> 22 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 ,
  22 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 -> 22 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 ,
  22 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 -> 22 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 ,
  22 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 -> 22 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 ,
  22 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 -> 22 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 ,
  5 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 -> 5 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 ,
  5 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 -> 5 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 ,
  5 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 -> 5 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 ,
  5 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 -> 5 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 ,
  5 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 -> 5 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 ,
  5 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 -> 5 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 ,
  5 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 -> 5 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 ,
  23 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 -> 23 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 ,
  23 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 -> 23 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 ,
  23 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 -> 23 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 ,
  23 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 -> 23 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 ,
  23 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 -> 23 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 ,
  23 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 -> 23 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 ,
  23 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 -> 23 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 ,
  11 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 -> 11 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 ,
  11 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 -> 11 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 ,
  11 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 -> 11 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 ,
  11 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 -> 11 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 ,
  11 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 -> 11 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 ,
  11 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 -> 11 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 ,
  11 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 -> 11 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 ,
  24 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 -> 24 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 22 ,
  24 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 -> 24 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 25 ,
  24 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 -> 24 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 35 ,
  24 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 -> 24 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 4 ,
  24 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 -> 24 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 7 ,
  24 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 -> 24 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 14 ,
  24 6 22 1 3 7 23 10 17 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 -> 24 6 22 1 3 7 37 11 1 39 23 32 16 22 32 29 29 30 31 14 11 10 18 35 35 42 ,
  10 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 9 -> 10 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 9 ,
  10 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 2 -> 10 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 2 ,
  10 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 3 -> 10 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 3 ,
  10 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 12 -> 10 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 12 ,
  10 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 39 -> 10 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 39 ,
  10 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 26 -> 10 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 26 ,
  10 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 43 -> 10 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 43 ,
  26 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 9 -> 26 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 9 ,
  26 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 2 -> 26 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 2 ,
  26 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 3 -> 26 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 3 ,
  26 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 12 -> 26 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 12 ,
  26 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 39 -> 26 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 39 ,
  26 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 26 -> 26 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 26 ,
  26 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 43 -> 26 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 43 ,
  14 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 9 -> 14 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 9 ,
  14 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 2 -> 14 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 2 ,
  14 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 3 -> 14 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 3 ,
  14 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 12 -> 14 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 12 ,
  14 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 39 -> 14 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 39 ,
  14 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 26 -> 14 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 26 ,
  14 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 43 -> 14 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 43 ,
  27 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 9 -> 27 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 9 ,
  27 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 2 -> 27 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 2 ,
  27 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 3 -> 27 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 3 ,
  27 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 12 -> 27 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 12 ,
  27 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 39 -> 27 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 39 ,
  27 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 26 -> 27 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 26 ,
  27 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 43 -> 27 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 43 ,
  37 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 9 -> 37 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 9 ,
  37 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 2 -> 37 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 2 ,
  37 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 3 -> 37 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 3 ,
  37 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 12 -> 37 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 12 ,
  37 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 39 -> 37 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 39 ,
  37 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 26 -> 37 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 26 ,
  37 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 43 -> 37 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 43 ,
  15 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 9 -> 15 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 9 ,
  15 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 2 -> 15 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 2 ,
  15 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 3 -> 15 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 3 ,
  15 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 12 -> 15 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 12 ,
  15 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 39 -> 15 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 39 ,
  15 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 26 -> 15 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 26 ,
  15 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 43 -> 15 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 43 ,
  38 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 9 -> 38 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 9 ,
  38 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 2 -> 38 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 2 ,
  38 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 3 -> 38 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 3 ,
  38 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 12 -> 38 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 12 ,
  38 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 39 -> 38 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 39 ,
  38 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 26 -> 38 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 26 ,
  38 17 9 6 14 19 5 33 37 18 4 27 20 37 20 8 9 10 17 26 19 27 17 26 11 0 10 17 43 -> 38 17 9 6 14 19 5 33 37 18 4 27 20 37 17 39 23 10 17 26 19 27 17 26 11 0 10 17 43 ,
  0 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 22 -> 0 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 22 ,
  0 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 25 -> 0 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 25 ,
  0 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 35 -> 0 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 35 ,
  0 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 4 -> 0 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 4 ,
  0 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 7 -> 0 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 7 ,
  0 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 14 -> 0 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 14 ,
  0 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 42 -> 0 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 42 ,
  9 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 22 -> 9 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 22 ,
  9 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 25 -> 9 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 25 ,
  9 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 35 -> 9 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 35 ,
  9 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 4 -> 9 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 4 ,
  9 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 7 -> 9 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 7 ,
  9 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 14 -> 9 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 14 ,
  9 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 42 -> 9 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 42 ,
  22 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 22 -> 22 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 22 ,
  22 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 25 -> 22 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 25 ,
  22 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 35 -> 22 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 35 ,
  22 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 4 -> 22 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 4 ,
  22 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 7 -> 22 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 7 ,
  22 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 14 -> 22 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 14 ,
  22 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 42 -> 22 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 42 ,
  5 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 22 -> 5 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 22 ,
  5 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 25 -> 5 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 25 ,
  5 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 35 -> 5 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 35 ,
  5 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 4 -> 5 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 4 ,
  5 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 7 -> 5 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 7 ,
  5 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 14 -> 5 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 14 ,
  5 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 42 -> 5 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 42 ,
  23 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 22 -> 23 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 22 ,
  23 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 25 -> 23 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 25 ,
  23 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 35 -> 23 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 35 ,
  23 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 4 -> 23 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 4 ,
  23 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 7 -> 23 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 7 ,
  23 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 14 -> 23 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 14 ,
  23 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 42 -> 23 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 42 ,
  11 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 22 -> 11 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 22 ,
  11 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 25 -> 11 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 25 ,
  11 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 35 -> 11 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 35 ,
  11 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 4 -> 11 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 4 ,
  11 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 7 -> 11 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 7 ,
  11 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 14 -> 11 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 14 ,
  11 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 42 -> 11 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 42 ,
  24 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 22 -> 24 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 22 ,
  24 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 25 -> 24 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 25 ,
  24 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 35 -> 24 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 35 ,
  24 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 4 -> 24 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 4 ,
  24 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 7 -> 24 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 7 ,
  24 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 14 -> 24 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 14 ,
  24 10 18 4 27 11 32 13 12 13 12 29 29 13 26 15 19 29 13 12 13 12 30 40 40 31 4 16 42 -> 24 32 29 27 17 26 18 25 12 29 5 1 12 29 27 19 30 28 27 19 30 8 12 29 13 3 7 31 42 ,
  0 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 9 -> 0 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 9 ,
  0 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 2 -> 0 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 2 ,
  0 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 3 -> 0 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 3 ,
  0 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 12 -> 0 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 12 ,
  0 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 39 -> 0 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 39 ,
  0 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 26 -> 0 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 26 ,
  0 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 43 -> 0 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 43 ,
  9 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 9 -> 9 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 9 ,
  9 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 2 -> 9 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 2 ,
  9 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 3 -> 9 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 3 ,
  9 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 12 -> 9 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 12 ,
  9 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 39 -> 9 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 39 ,
  9 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 26 -> 9 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 26 ,
  9 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 43 -> 9 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 43 ,
  22 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 9 -> 22 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 9 ,
  22 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 2 -> 22 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 2 ,
  22 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 3 -> 22 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 3 ,
  22 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 12 -> 22 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 12 ,
  22 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 39 -> 22 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 39 ,
  22 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 26 -> 22 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 26 ,
  22 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 43 -> 22 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 43 ,
  5 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 9 -> 5 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 9 ,
  5 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 2 -> 5 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 2 ,
  5 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 3 -> 5 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 3 ,
  5 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 12 -> 5 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 12 ,
  5 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 39 -> 5 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 39 ,
  5 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 26 -> 5 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 26 ,
  5 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 43 -> 5 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 43 ,
  23 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 9 -> 23 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 9 ,
  23 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 2 -> 23 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 2 ,
  23 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 3 -> 23 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 3 ,
  23 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 12 -> 23 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 12 ,
  23 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 39 -> 23 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 39 ,
  23 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 26 -> 23 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 26 ,
  23 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 43 -> 23 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 43 ,
  11 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 9 -> 11 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 9 ,
  11 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 2 -> 11 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 2 ,
  11 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 3 -> 11 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 3 ,
  11 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 12 -> 11 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 12 ,
  11 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 39 -> 11 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 39 ,
  11 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 26 -> 11 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 26 ,
  11 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 43 -> 11 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 43 ,
  24 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 9 -> 24 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 9 ,
  24 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 2 -> 24 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 2 ,
  24 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 3 -> 24 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 3 ,
  24 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 12 -> 24 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 12 ,
  24 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 39 -> 24 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 39 ,
  24 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 26 -> 24 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 26 ,
  24 1 39 23 1 12 16 35 4 13 26 20 31 7 31 35 14 19 27 11 32 30 28 13 12 13 3 25 43 -> 24 1 9 6 25 39 28 29 27 17 3 35 7 31 7 31 4 5 10 15 17 12 30 28 16 25 12 13 43 ,
  6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 0 -> 6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 0 ,
  6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 1 -> 6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 1 ,
  6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 6 -> 6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 6 ,
  6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 32 -> 6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 32 ,
  6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 33 -> 6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 33 ,
  6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 10 -> 6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 10 ,
  6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 34 -> 6 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 34 ,
  3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 0 -> 3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 0 ,
  3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 1 -> 3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 1 ,
  3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 6 -> 3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 6 ,
  3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 32 -> 3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 32 ,
  3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 33 -> 3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 33 ,
  3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 10 -> 3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 10 ,
  3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 34 -> 3 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 34 ,
  35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 0 -> 35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 0 ,
  35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 1 -> 35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 1 ,
  35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 6 -> 35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 6 ,
  35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 32 -> 35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 32 ,
  35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 33 -> 35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 33 ,
  35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 10 -> 35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 10 ,
  35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 34 -> 35 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 34 ,
  16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 0 -> 16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 0 ,
  16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 1 -> 16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 1 ,
  16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 6 -> 16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 6 ,
  16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 32 -> 16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 32 ,
  16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 33 -> 16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 33 ,
  16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 10 -> 16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 10 ,
  16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 34 -> 16 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 34 ,
  31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 0 -> 31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 0 ,
  31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 1 -> 31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 1 ,
  31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 6 -> 31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 6 ,
  31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 32 -> 31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 32 ,
  31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 33 -> 31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 33 ,
  31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 10 -> 31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 10 ,
  31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 34 -> 31 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 34 ,
  18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 0 -> 18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 0 ,
  18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 1 -> 18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 1 ,
  18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 6 -> 18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 6 ,
  18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 32 -> 18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 32 ,
  18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 33 -> 18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 33 ,
  18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 10 -> 18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 10 ,
  18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 34 -> 18 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 34 ,
  36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 0 -> 36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 0 ,
  36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 1 -> 36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 1 ,
  36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 6 -> 36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 6 ,
  36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 32 -> 36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 32 ,
  36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 33 -> 36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 33 ,
  36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 10 -> 36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 10 ,
  36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 4 16 4 5 6 25 39 37 11 10 11 34 -> 36 22 10 20 23 0 32 30 31 35 4 29 27 18 35 35 35 22 6 35 4 29 5 6 25 39 37 11 10 11 34 }


The system was filtered by the following matrix interpretation
of type E_J with J = {1,...,2} and dimension 2:

0 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
1 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
2 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
3 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
4 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
5 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
6 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
7 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
8 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
9 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
10 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
11 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
12 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
13 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
14 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
15 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
16 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
17 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
18 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
19 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
20 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
21 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
22 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
23 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
24 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
25 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
26 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
27 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
28 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
29 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
30 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
31 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
32 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
33 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
34 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
35 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
36 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
37 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
38 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
39 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
40 is interpreted by
 /   \
| 1 1 |
| 0 1 |
 \   /
41 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
42 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /
43 is interpreted by
 /   \
| 1 0 |
| 0 1 |
 \   /

After renaming modulo {  }, 
it remains to prove termination of the 0-rule system
{ }

The system is trivially terminating.